The cytosolic chaperonin T-complex protein 1-ring complex(TRiC)or chaperonin containing T-complex protein 1(CCT)is essential in de novo folding of approximately 10%of the eukaryotic,newly translated polypeptides as we...The cytosolic chaperonin T-complex protein 1-ring complex(TRiC)or chaperonin containing T-complex protein 1(CCT)is essential in de novo folding of approximately 10%of the eukaryotic,newly translated polypeptides as well as misfolded proteins.There is a close link between the TRiC/CCT cytosolic chaperonin and neurodegenerative diseases(Lopez et al.,2015).A lot of research suggests that CCT plays neuroprotective roles in neurodegenerative diseases including Huntington’s disease(Lopez et al.,2015).Either overexpression of a single or all eight subunits(CCT1-8)or treatment of the substrate-binding apical domain of yeast CCT1(ApiCCT1)prevented mutant Huntingtin aggregation and improved cellular and neuronal functions(Zhao et al.,2016).Importantly,our recent study has demonstrated that both CCT and ApiCCT could reduce mutant Huntingtin level and enhance both anterograde and retrograde axonal transport of brain-derived neurotrophic factor.These results led to restoration of the trophic status of striatal neurons from a bacterial artificial chromosome transgenic mouse model of Huntington’s disease(Zhao et al.,2016).Axonal transport is regulated by many factors including microtubule-associated protein tau,which promotes tubulin polymerization and stabilizes microtubules.Impaired interaction between tau and microtubules plays a vital role in the pathogenesis of multiple neurodegenerative diseases(Wang and Mandelkow,2016).Interestingly,tau phosphorylation is also observed in brains of several Huntington’s disease mouse models and Huntington’s disease patients(Gratuze et al.,2016).In a recent study,we explored if CCT subunit has any effect on axonal transport in a tau-dependent pathway(Chen et al.,2018b).We focused on the retrograde axonal transport of brain-derived neurotrophic factor,as neurotrophic factor-mediated signaling in the form of signaling endosome is essential in both the developing and the mature nervous system and dysregulation of trafficking of neurotrophic factors is tightly linked to disorders of the nervous system(Chen et al.,2018a).We found that the expression of a single CCT subunit(CCT5)significantly promoted retrograde axonal transport of brain-derived neurotrophic factor in primary cortical neurons.Mechanically,CCT regulated the level of cyclin-dependent kinase 5(CDK5)/p35/p25 and,subsequently contributed to CCT-induced tau phosphorylation,which induced detachment of tau from microtubules(Chen et al.,2018b)(Figure 1).展开更多
Let M be a 2-torsion free semiprime G-ring with involution satisfying the condition that ( and ). In this paper, we will prove that if a non-zero Jordan G<sup>*</sup>-derivation d on M satisfies for all an...Let M be a 2-torsion free semiprime G-ring with involution satisfying the condition that ( and ). In this paper, we will prove that if a non-zero Jordan G<sup>*</sup>-derivation d on M satisfies for all and , then .展开更多
In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalize...In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalized left *-derivation of R in [1] are extended by using generalized left *-α-derivation. The commutativity of a *-ring with generalized left *-α-derivation is investigated and some results are given for generalized *-α-derivation.展开更多
ObjectiveThe study aimed to explore the factors regulating carotenoid accumulation in flesh color. MethodA loquat mutation (red-or orange-fleshed plant emerged a bud mutation of white-flesh in trunk) was used as mat...ObjectiveThe study aimed to explore the factors regulating carotenoid accumulation in flesh color. MethodA loquat mutation (red-or orange-fleshed plant emerged a bud mutation of white-flesh in trunk) was used as material; HPLC analysis of β-carotene content was conducted. ResultThe β-carotene concentration in the flesh of wild and mutant types was 60.9 and 4.6 μg/g fresh weight, respectively. According to the conserved regions of genes from rose family genome, carotenogenic gene fragments in wild and mutant types were obtained. No nucleotide variation of the carotenogenic gene fragments was observed between wild and mutant genome. Real-time quantitative polymerase chain reaction (Q-PCR) was compared and one carotenogenic gene, β-ring hydroxylase (HYB) were considerably suppressed in mature mutant loquat fruits compared with that in wild. The other six carotenogenic genes were also expressed but the expression patterns appeared to be not correlated with the amount of β-carotene concentration in wild loquat flesh. ConclusionThe mutant whitish loquat lacks the ability to synthesize β-carotene because of the transcriptional down-regulation of carotenogenic gene HYB.展开更多
Let us call a ring R (without identity) to be right symmetric if for any triple a,b,c,∈R?abc = 0 then acb = 0. Such rings are neither symmetric nor reversible (in general) but are semicommutative. With an idempotent ...Let us call a ring R (without identity) to be right symmetric if for any triple a,b,c,∈R?abc = 0 then acb = 0. Such rings are neither symmetric nor reversible (in general) but are semicommutative. With an idempotent they take care of the sheaf representation as obtained by Lambek. Klein 4-rings and their several generalizations and extensions are proved to be members of such class of rings. An extension obtained is a McCoy ring and its power series ring is also proved to be a McCoy ring.展开更多
A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and (S, 2)-ring~. Some relation...A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and (S, 2)-ring~. Some relations of these rings are studied and several properties of clean rings and (S, 2)-rings are extended. PAng extensions of UR-rings are also investigated.展开更多
In this paper,we introduce a non-trivial generalization of ZI-rings-quasi ZI-rings.A ring R is called a quasi ZI-ring,if for any non-zero elements a,b ∈ R,ab = 0 implies that there exists a positive integer n such th...In this paper,we introduce a non-trivial generalization of ZI-rings-quasi ZI-rings.A ring R is called a quasi ZI-ring,if for any non-zero elements a,b ∈ R,ab = 0 implies that there exists a positive integer n such that an = 0 and anRbn = 0.The non-singularity and regularity of quasi ZI,GP-Vˊ-rings are studied.Some new characterizations of strong regular rings are obtained.These effectively extend some known results.展开更多
For a ring R, let ip(RR)={a ∈ R: every right R-homomorphism f from any right ideal of R into R with Imf = aR can extend to R}. It is known that R is right IP-injective if and only if R = ip(RR) and R is right si...For a ring R, let ip(RR)={a ∈ R: every right R-homomorphism f from any right ideal of R into R with Imf = aR can extend to R}. It is known that R is right IP-injective if and only if R = ip(RR) and R is right simple-injective if and only if {a ∈ R : aR is simple} ∪→ ip(RR). In this note, we introduce the concept of right S-IP-injective rings, i.e., the ring R with S ∪→ ip(RR), where S is a subset of R. Some properties of this kind of rings are obtained.展开更多
In this paper, for the highest weight module V4 of sl(2,C) with the highest weight 4, we describe subalgebras Sβ(V4)+ and Sγ(V4)+ of the βγ-system coset S(V4)+ by giving their generators. These eoset su...In this paper, for the highest weight module V4 of sl(2,C) with the highest weight 4, we describe subalgebras Sβ(V4)+ and Sγ(V4)+ of the βγ-system coset S(V4)+ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.展开更多
A*-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil*-clean rings are the version of nil-clean rings introduced by Diesl.This paper is about the nil*-clean property...A*-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil*-clean rings are the version of nil-clean rings introduced by Diesl.This paper is about the nil*-clean property of rings with emphasis on matrix rings.We show that a*-ring R is nil*-clean if and only if J(R)is nil and R/J(R)is nil*-clean.For a 2-primal*-ring R,with the induced involution given by(aij)*=(a*ij)^(T),the nil*-clean property of Mn(R)is completely reduced to that of Mn(Zn).Consequently,Mn(R)is not a nil*-clean ring for n=3,4,and M2(R)is a nil*-clean ring if and only if J(R)is nil,R/J(R)is a Boolean ring and a*-a∈J(R)for all a∈R.展开更多
Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and...Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and strongly C2 extensions,such as trivial extensions,formal triangular matrix rings,group rings and[D,C].展开更多
A ring R is π-regular if for every a in R, there is a positive integer n such that a^n R is generated by an idempotent. In this paper, we introduce the notion of π-*-regular rings, which is the *-version of π-reg...A ring R is π-regular if for every a in R, there is a positive integer n such that a^n R is generated by an idempotent. In this paper, we introduce the notion of π-*-regular rings, which is the *-version of π-regular rings. We prove various properties of π-*-regular rings, and establish many equivalent characterizations of abelian π-*-regular rings.展开更多
We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-suppleme...We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.展开更多
文摘The cytosolic chaperonin T-complex protein 1-ring complex(TRiC)or chaperonin containing T-complex protein 1(CCT)is essential in de novo folding of approximately 10%of the eukaryotic,newly translated polypeptides as well as misfolded proteins.There is a close link between the TRiC/CCT cytosolic chaperonin and neurodegenerative diseases(Lopez et al.,2015).A lot of research suggests that CCT plays neuroprotective roles in neurodegenerative diseases including Huntington’s disease(Lopez et al.,2015).Either overexpression of a single or all eight subunits(CCT1-8)or treatment of the substrate-binding apical domain of yeast CCT1(ApiCCT1)prevented mutant Huntingtin aggregation and improved cellular and neuronal functions(Zhao et al.,2016).Importantly,our recent study has demonstrated that both CCT and ApiCCT could reduce mutant Huntingtin level and enhance both anterograde and retrograde axonal transport of brain-derived neurotrophic factor.These results led to restoration of the trophic status of striatal neurons from a bacterial artificial chromosome transgenic mouse model of Huntington’s disease(Zhao et al.,2016).Axonal transport is regulated by many factors including microtubule-associated protein tau,which promotes tubulin polymerization and stabilizes microtubules.Impaired interaction between tau and microtubules plays a vital role in the pathogenesis of multiple neurodegenerative diseases(Wang and Mandelkow,2016).Interestingly,tau phosphorylation is also observed in brains of several Huntington’s disease mouse models and Huntington’s disease patients(Gratuze et al.,2016).In a recent study,we explored if CCT subunit has any effect on axonal transport in a tau-dependent pathway(Chen et al.,2018b).We focused on the retrograde axonal transport of brain-derived neurotrophic factor,as neurotrophic factor-mediated signaling in the form of signaling endosome is essential in both the developing and the mature nervous system and dysregulation of trafficking of neurotrophic factors is tightly linked to disorders of the nervous system(Chen et al.,2018a).We found that the expression of a single CCT subunit(CCT5)significantly promoted retrograde axonal transport of brain-derived neurotrophic factor in primary cortical neurons.Mechanically,CCT regulated the level of cyclin-dependent kinase 5(CDK5)/p35/p25 and,subsequently contributed to CCT-induced tau phosphorylation,which induced detachment of tau from microtubules(Chen et al.,2018b)(Figure 1).
文摘Let M be a 2-torsion free semiprime G-ring with involution satisfying the condition that ( and ). In this paper, we will prove that if a non-zero Jordan G<sup>*</sup>-derivation d on M satisfies for all and , then .
文摘In this paper, it is defined that left *-α-derivation, generalized left *-α-derivation and *-α-derivation, generalized *-α-derivation of a *-ring where α is a homomorphism. The results which proved for generalized left *-derivation of R in [1] are extended by using generalized left *-α-derivation. The commutativity of a *-ring with generalized left *-α-derivation is investigated and some results are given for generalized *-α-derivation.
基金Supported by Special Fund for Agro-scientific Research in the Public Interest of China(201003073)Key Laboratory Program of Agriculture Ministry of China(2013JCYJ-004)+1 种基金Applied Basic Research Program of Chengdu City Science and Technology Bureau(11DXYB039NC)Youth Foundation of Sichuan Province(2011QNJJ-010)~~
文摘ObjectiveThe study aimed to explore the factors regulating carotenoid accumulation in flesh color. MethodA loquat mutation (red-or orange-fleshed plant emerged a bud mutation of white-flesh in trunk) was used as material; HPLC analysis of β-carotene content was conducted. ResultThe β-carotene concentration in the flesh of wild and mutant types was 60.9 and 4.6 μg/g fresh weight, respectively. According to the conserved regions of genes from rose family genome, carotenogenic gene fragments in wild and mutant types were obtained. No nucleotide variation of the carotenogenic gene fragments was observed between wild and mutant genome. Real-time quantitative polymerase chain reaction (Q-PCR) was compared and one carotenogenic gene, β-ring hydroxylase (HYB) were considerably suppressed in mature mutant loquat fruits compared with that in wild. The other six carotenogenic genes were also expressed but the expression patterns appeared to be not correlated with the amount of β-carotene concentration in wild loquat flesh. ConclusionThe mutant whitish loquat lacks the ability to synthesize β-carotene because of the transcriptional down-regulation of carotenogenic gene HYB.
文摘Let us call a ring R (without identity) to be right symmetric if for any triple a,b,c,∈R?abc = 0 then acb = 0. Such rings are neither symmetric nor reversible (in general) but are semicommutative. With an idempotent they take care of the sheaf representation as obtained by Lambek. Klein 4-rings and their several generalizations and extensions are proved to be members of such class of rings. An extension obtained is a McCoy ring and its power series ring is also proved to be a McCoy ring.
基金the National -Natural Science Foundation of China (No. 10571026) the Natural Science Foundation of Jiangsu Province (No. 2005207).
文摘A ring is said to be UR if every element can be written as the sum of a unit and a regular element. These rings are shown to be a unifying generalization of regular rings, clean rings and (S, 2)-ring~. Some relations of these rings are studied and several properties of clean rings and (S, 2)-rings are extended. PAng extensions of UR-rings are also investigated.
基金Supported by the National Natural Science Foundation of China (Grant Nos.10871106 10901002+1 种基金 10971099)the Natural Science Foundation of Anhui Provincial Education Committee (Grant No.KJ2008A026)
文摘In this paper,we introduce a non-trivial generalization of ZI-rings-quasi ZI-rings.A ring R is called a quasi ZI-ring,if for any non-zero elements a,b ∈ R,ab = 0 implies that there exists a positive integer n such that an = 0 and anRbn = 0.The non-singularity and regularity of quasi ZI,GP-Vˊ-rings are studied.Some new characterizations of strong regular rings are obtained.These effectively extend some known results.
基金the Specialized Research Fund for the Doctoral Program of Higher Education of China (20020284009, 20030284033)the Postdoctoral Research Fund of China (2005037713)Jiangsu Planned Projects for Postdoctoral Research Fund (0203003403)
文摘For a ring R, let ip(RR)={a ∈ R: every right R-homomorphism f from any right ideal of R into R with Imf = aR can extend to R}. It is known that R is right IP-injective if and only if R = ip(RR) and R is right simple-injective if and only if {a ∈ R : aR is simple} ∪→ ip(RR). In this note, we introduce the concept of right S-IP-injective rings, i.e., the ring R with S ∪→ ip(RR), where S is a subset of R. Some properties of this kind of rings are obtained.
基金Supported by National Natural Science Foundation of China (10971071)Provincial Foundation of Innovative Scholars of Henan
文摘In this paper, for the highest weight module V4 of sl(2,C) with the highest weight 4, we describe subalgebras Sβ(V4)+ and Sγ(V4)+ of the βγ-system coset S(V4)+ by giving their generators. These eoset subalgebras are interesting, new examples of strongly finitely generated vertex algebra.
基金This research was supported by Anhui Provincial Natural Science Foundation(No.2008085MA06)the Key Project of Anhui Education Committee(No.gxyqZD2019009)(for Cui)a Discovery Grant from NSERC of Canada(for Xia and Zhou).
文摘A*-ring R is called a nil *-clean ring if every element of R is a sum of a projection and a nilpotent.Nil*-clean rings are the version of nil-clean rings introduced by Diesl.This paper is about the nil*-clean property of rings with emphasis on matrix rings.We show that a*-ring R is nil*-clean if and only if J(R)is nil and R/J(R)is nil*-clean.For a 2-primal*-ring R,with the induced involution given by(aij)*=(a*ij)^(T),the nil*-clean property of Mn(R)is completely reduced to that of Mn(Zn).Consequently,Mn(R)is not a nil*-clean ring for n=3,4,and M2(R)is a nil*-clean ring if and only if J(R)is nil,R/J(R)is a Boolean ring and a*-a∈J(R)for all a∈R.
文摘Let R be a ring and n be a positive integer.Then R is called a left n-C2-ring(strongly left C2-ring)if every n-generated(finitely generated)proper right ideal of R has nonzero left annihilator.We discuss some n-C2 and strongly C2 extensions,such as trivial extensions,formal triangular matrix rings,group rings and[D,C].
基金The authors are highly grateful to the referee for many valuable comments. This research was supported by the National Natural Science Foundation of China (No. 11401009), Anhui Provincial Natural Science Foundation (No. 1408085QA01) and Key Natural Science Foundation of Anhui Educational Committee (No. KJ2014A082).
文摘A ring R is π-regular if for every a in R, there is a positive integer n such that a^n R is generated by an idempotent. In this paper, we introduce the notion of π-*-regular rings, which is the *-version of π-regular rings. We prove various properties of π-*-regular rings, and establish many equivalent characterizations of abelian π-*-regular rings.
文摘We investigate the structure of rings over which every finitely generated g- supplemented module is supplemented. Some characterizations of this type of rings are given. We establishe some properties of ⊙-δ-supplemented modules. It is showed that for a ring R, finitely generated δ-supplemented R-modules are supplemented if and only if finitely generated ⊙-δ-supplemented R-modules are ⊙-supplemented.