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Baer、quasi-Baer和p.q.-Baer模
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作者 景丽敏 任艳丽 《南京晓庄学院学报》 2007年第6期4-6,共3页
文章定义了Baer模、quasi-Baer模和p.q.-Baer模.使用了环论和模论的一般方法,讨论了在一定条件下模的子模、商模、直积(直和)和同态象保Baer性(quasi-Bear性、p.q.-Baer性.)
关键词 Baer模 quasi-baer p.q.-Baer模 直和项 模同态
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Involvement of T-complex protein 1-ring complex/chaperonin containing T-complex protein 1(TRiC/CCT) in retrograde axonal transport through tau phosphorylation 被引量:1
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作者 Xu-Qiao Chen 《Neural Regeneration Research》 SCIE CAS CSCD 2019年第4期588-590,共3页
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
关键词 T-COMPLEX PROTEIN 1-ring complex(TRiC) CHAPERONIN CONTAINING T-COMPLEX PROTEIN 1(CCT) Involvemen
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Jordan Γ*-Derivation on Semiprime Γ-Ring M with Involution
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作者 Ali Kareem Hajar Sulaiman Abdul-Rahman Hameed Majeed 《Advances in Linear Algebra & Matrix Theory》 2016年第2期40-50,共11页
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
关键词 Γ-ring M with Involution Jordan Γ*-Derivation Commutative Γ-ring
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The Commutativity of a *-Ring with Generalized Left *-α-Derivation
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作者 Ahmet Oguz Balci Neset Aydin Selin Turkmen 《Advances in Pure Mathematics》 2018年第2期168-177,共10页
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
关键词 *-ring Prime *-ring Generalized Left *-α-Derivation Generalized *-α-Derivation
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Malcev-Neumann环的主拟Baer性质(英文) 被引量:2
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作者 刘仲奎 《数学杂志》 CSCD 北大核心 2005年第3期237-244,共8页
设R是环,G是偏序群,σ是从G到R的自同构群的映射。本文研究了Malcev-Neumann环R((G))是主拟Baer环的条件。证明了如下结果:如果R是约化环并且σ是弱刚性的,则R((G))是主拟Baer环当且仅当R是主拟Baer环,并且I(R)的任意G-可标子集在I(R)... 设R是环,G是偏序群,σ是从G到R的自同构群的映射。本文研究了Malcev-Neumann环R((G))是主拟Baer环的条件。证明了如下结果:如果R是约化环并且σ是弱刚性的,则R((G))是主拟Baer环当且仅当R是主拟Baer环,并且I(R)的任意G-可标子集在I(R)中具有广义并. 展开更多
关键词 Malcev-Neumann环 主拟Baer环 约化环
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Molecular Cloning and Expression of Carotenogenic Genes in Yellowish and Mutant Whitish Loquat (Eriobotrya japonica) Fruits 被引量:2
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作者 孙淑霞 谢红江 +3 位作者 陈栋 李靖 涂美艳 江国良 《Agricultural Science & Technology》 CAS 2013年第7期941-945,共5页
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
关键词 Β-CAROTENE β-ring hydroxylase Flesh colour Gene expression LOQUAT
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广义幂级数环的拟Baer性 被引量:2
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作者 刘仲奎 《数学年刊(A辑)》 CSCD 北大核心 2002年第5期579-584,共6页
设R是环,(S,≤)是严格全序幺半群,且对任意s∈S都有0≤s.本文证明了环R是拟Baer环当且仅当R上的广义幂级数环[[RS,≤]]是拟 Baer环.
关键词 拟Baer环 BAER环 广义幂级数环
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多项式环及特殊上三角矩阵环的分次与非分次性质
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作者 周忠眉 陈清华 《福建师范大学学报(自然科学版)》 CAS CSCD 2001年第2期10-14,共5页
引进分次 (弱分次 ) Armendariz环及分次拟 Baer环的概念 ,讨论了环上的分次与非分次多项式(特殊上三角矩阵 )环的 Armendariz环与拟
关键词 弱分次Armendariz环 分次拟Baer环 多项式环 上三角矩阵环 分次环 分次结构
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Baer环和拟-Baer环的多项式扩张的一点注记
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作者 汪小琳 李树海 宋雪梅 《纯粹数学与应用数学》 CSCD 2011年第2期253-255,共3页
I1和I2分别是环R的一个左理想和右理想,T1=R[x]和T2=R[x,x-1]分别表示多项式环和洛朗多项式环.首先给出两个例子,分别说明了T1I1不一定是T1的左理想与T2I2不一定是T2的右理想.其次给出了环的多项式扩张及洛朗扩张的理想的性质.最后证明... I1和I2分别是环R的一个左理想和右理想,T1=R[x]和T2=R[x,x-1]分别表示多项式环和洛朗多项式环.首先给出两个例子,分别说明了T1I1不一定是T1的左理想与T2I2不一定是T2的右理想.其次给出了环的多项式扩张及洛朗扩张的理想的性质.最后证明了,若R[x](R[x,x-1])是拟-Baer环,则R也是拟-Baer环. 展开更多
关键词 拟-Baer环 多项式环 洛朗多项式环 扩张
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一类具(拟-)Baer性的特殊Morita Context环
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作者 金海兰 朴哲林 崔海兰 《延边大学学报(自然科学版)》 CAS 2011年第3期212-215,共4页
通过反例得出R为Baer环时,斜群环R*G与固定环RG未必是Baer环的结论.进而探讨了斜群环和固定环构成(拟-)Baer环的条件.通过对Morita Context环分解,得到斜群环和固定环构成的Morita Context环作成(拟-)Baer环的条件.
关键词 BAER环 拟-Baer环 MORITA Context环 斜群环 固定环 单环
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环的(主)拟-Baer性在Morita Context环上的推广
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作者 金海兰 黄娟 《延边大学学报(自然科学版)》 CAS 2011年第4期291-297,共7页
通过反例得出Baer环不具有Movita不变性的结论。在此基础上,探讨了含有2个模零同态的MoritaContext环构成Baer环、拟-Baer环和右主拟-Baer环的条件,得到含有2个零模的Morita Context环构成Baer环、拟-Baer环和右主拟-Baer环的充要条件,... 通过反例得出Baer环不具有Movita不变性的结论。在此基础上,探讨了含有2个模零同态的MoritaContext环构成Baer环、拟-Baer环和右主拟-Baer环的条件,得到含有2个零模的Morita Context环构成Baer环、拟-Baer环和右主拟-Baer环的充要条件,并将所得结果推广到三阶Morita Context环。 展开更多
关键词 BAER环 拟-Baer环 右主拟-Baer环 零化子 MORITA Context环
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Baer环、分次Baer环及其推广
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作者 周忠眉 《漳州师范学院学报(自然科学版)》 2001年第2期13-17,共5页
得到:若 R=n∈Z Rn是 Z-型分次环,且 R是 Armendariz环,则环 R、分次环 R、多项式环 R[x]及自然分次多项式环,Laurent多项式环R[x,x-1]及自然分次Laurent多项式环在Baer环(P... 得到:若 R=n∈Z Rn是 Z-型分次环,且 R是 Armendariz环,则环 R、分次环 R、多项式环 R[x]及自然分次多项式环,Laurent多项式环R[x,x-1]及自然分次Laurent多项式环在Baer环(P.P.环,拟Baer环)的性质土是一致的,推广了[2]、[3]、[8]、[9]中相应的结论. 展开更多
关键词 (分次)Armendariz环:(分次)Baer环 (分次)P.P.环 (分次)拟Baer环
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Γ-环的Baer根、b-根与拟b-根
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作者 奚欧根 《宁波大学学报(理工版)》 CAS 1991年第1期13-16,共4页
本文定义了Γ-环的b-理想与拟b-理想,论述了Γ-环中都有一个Baer根,一个b-根与一个拟强b-根,并且还证得了Γ-环的Baer根=b-根=拟b-根。
关键词 Γ-环 BAER根 b-根 拟b-根
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主拟Baer模
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作者 张翠萍 《西北师范大学学报(自然科学版)》 CAS 2001年第4期24-26,共3页
引入了主拟Baer模的概念 ,讨论了主拟Baer模和PP模的关系 ,证明了主拟Baer模上的多项式模作为多项式环上的模仍是主拟Baer的 ,并给出了主拟Baer模上的幂级数模成为主拟Baer模的充分条件 .
关键词 主拟Baer模 PP-模 幂级数模 ABEL环 多项式环 多项式模 BAER环
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Richart模
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作者 刘琼 欧阳柏玉 《南京大学学报(数学半年刊)》 CAS 2006年第1期157-166,共10页
本文引入左Richart模的概念.设M是左R模,若EndR(M)中任意元φ在M中的左零化子是M的直和项,则称M是左Richart模.左Richart模是左Richart环的推广.在文章中我们给出了左Richart环和左Richart模的等价刻画条件.探讨了Baer模和左Richar... 本文引入左Richart模的概念.设M是左R模,若EndR(M)中任意元φ在M中的左零化子是M的直和项,则称M是左Richart模.左Richart模是左Richart环的推广.在文章中我们给出了左Richart环和左Richart模的等价刻画条件.探讨了Baer模和左Richart模的关系及左Richart模的性质:Baer模是左Richart模,而左Richart模不一定是Baer模;左Richart模的直和项是左Richart模,但左Richart模的直和不一定是左Richart模,我们给出了左Richart模对直和封闭的等价条件;并且证明了有限生成的Abel群是左Richart模当且仅当它是半单模或无挠模.此外,我们还探讨了左Richart模与一些重要的环、模类之间的关系,得到了左Richart模的自同态环是左Richart环,以及左Richart环的中心是VN-正则环.特别地,当模的自同态环是交换环时,模是左Richart模当且仅当它的自同态环是VN-正则环. 展开更多
关键词 Richart环(模) Baer环(模) VN-正则环 拟可缩模 自同态环 零化子 幂等元
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Principally Quasi-Baer Modules 被引量:3
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作者 LIU Qiong OUYANG Bai Yu WU Tong Suo 《Journal of Mathematical Research and Exposition》 CSCD 2009年第5期823-830,共8页
In this paper,we give the equivalent characterizations of principally quasi-Baer modules,and show that any direct summand of a principally quasi-Baer module inherits the property and any finite direct sum of mutually ... In this paper,we give the equivalent characterizations of principally quasi-Baer modules,and show that any direct summand of a principally quasi-Baer module inherits the property and any finite direct sum of mutually subisomorphic principally quasi-Baer modules is also principally quasi-Baer.Moreover,we prove that left principally quasi-Baer rings have Morita invariant property.Connections between Richart modules and principally quasi-Baer modules are investigated. 展开更多
关键词 principally quasi-baer rings (modules) endomorphism rings ANNIHILATORS semicentral idempotents.
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On Extensions of Right Symmetric Rings without Identity 被引量:1
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作者 Basmah H. Shafee S. Khalid Nauman 《Advances in Pure Mathematics》 2014年第12期665-673,共9页
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
关键词 RIGHT (Left) SYMMETRIC RINGS KLEIN 4-rings MCCOY RINGS
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Principal Quasi-Baerness of Formal Power Series Rings
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作者 Zhong Kui LIU Wen Hui ZHANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第11期2231-2238,共8页
Let R be a ring. We consider left (or right) principal quasi-Baerness of the left skew formal power series ring R[[x;α]] over R where a is a ring automorphism of R. We give a necessary and sufficient condition unde... Let R be a ring. We consider left (or right) principal quasi-Baerness of the left skew formal power series ring R[[x;α]] over R where a is a ring automorphism of R. We give a necessary and sufficient condition under which the ring R[[x; α]] is left (or right) principally quasi-Baer. As an application we show that R[[x]] is left principally quasi-Baer if and only if R is left principally quasi- Baer and the left annihilator of the left ideal generated by any countable family of idempotents in R is generated by an idempotent. 展开更多
关键词 Left principally quasi-baer ring skew power series ring right semicentral idempotent
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The (Quasi-)Baerness of Skew Group Ring and Fixed Ring
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作者 Hailan Jin Qinxue Zhao 《Advances in Pure Mathematics》 2011年第6期363-366,共4页
In this paper, the (quasi-)Baerness of skew group ring and fixed ring is investigated. The following two results are obtained: if R is a simple ring with identity and G an outer automorphism group, then R G is a Baer ... In this paper, the (quasi-)Baerness of skew group ring and fixed ring is investigated. The following two results are obtained: if R is a simple ring with identity and G an outer automorphism group, then R G is a Baer ring;if R is an Artinian simple ring with identity and G an outer automorphism group, then RG is a Baer ring. Moreover, by decomposing Morita Context ring and Morita Context Theory, we provided several conditions of Morita Context ring, which is formed of skew group ring and fixed ring, to be (quasi-)Baer ring. 展开更多
关键词 BAER RING quasi-baer RING MORITA Context RING SKEW Group RING Fixed RING Simple RING
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The Some Properties of Skew Polynomial Rings
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作者 Qianqian Chu Hailan Jin 《Advances in Pure Mathematics》 2016年第7期507-511,共5页
This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. The... This paper mainly studies some properties of skew polynomial ring related to Morita invariance, Armendariz and (quasi)-Baer. First, we show that skew polynomial ring has no Morita invariance by the counterexample. Then we prove a necessary condition that skew polynomial ring constitutes Armendariz ring. We lastly investigate that condition of skew polynomial ring is a (quasi)-Baer ring, and verify that the conditions is necessary, but not sufficient by example and counterexample. 展开更多
关键词 Skew Polynomial Ring (Quasi)-Baer Ring Armendariz Ring Morita Context Ring Morita Invariance Nozero Divisor Ring
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