In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinator...In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinatorics. The number of them is also given.展开更多
Clip domain serine proteases （cSPs） and their homologs （SPHs） play an important role in various biological processes that are essential components of extracellular signaling cascades, especially in the innate immu...Clip domain serine proteases （cSPs） and their homologs （SPHs） play an important role in various biological processes that are essential components of extracellular signaling cascades, especially in the innate immune responses of invertebrates. Here, polymorphisms of PtcSP and PtSPH from the swimming crab Portunus tritubereulatus were investigated to explore their association with resistance/ susceptibility to Vibrio alginolyticus. Polymorphic loci were identified using Clustal X, and characterized with SPSS 16.0 software, and then the significance of genotype and allele frequencies between resistant and susceptible stocks was determined by a Zz test. A total of 109 and 77 single nucleotide polymorphisms （SNPs） were identified in the genomic fragments of PtcSP and PtSPH, respectively. Notably, nearly half of PtSPH polymorphisms were found in the non-coding exon 1. Fourteen SNPs investigated were significantly associated with susceptibility/resistance to I1. alginolyticus （P〈0.05）. Among them, eight SNPs were observed in introns, and one synonymous, four non-synonymous SNPs and one ins-del were found in coding exons. In addition, five simple sequence repeats （SSRs） were detected in intron 3 of PtcSP. Although there was no statistically significant difference of allele frequencies, the SSRs showed different polymorphic alleles on the basis of the repeat number between resistant and susceptible stocks. After fiarther validation, polymorphisms investigated here might be applied to select potential molecular markers ofP. trituberculatus with resistance to I1. alginolyticus.展开更多
Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Ba...Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R.展开更多
In this paper,we give the notion of derivations of Lie 2-algebras using explicit formulas,and construct the associated derivation Lie 3-algebra.We prove that isomorphism classes of non-abelian extensions of Lie 2-alge...In this paper,we give the notion of derivations of Lie 2-algebras using explicit formulas,and construct the associated derivation Lie 3-algebra.We prove that isomorphism classes of non-abelian extensions of Lie 2-algebras are classified by equivalence classes of morphisms from a Lie 2-algebra to a derivation Lie 3-algebra.展开更多
文摘In this paper, we describe the canonical partial order on the idempotent set of the strong endomorphism monoid of a graph, and using this we further characterize primitive idem potenes from the viewpoint of combinatorics. The number of them is also given.
基金Supported by the National Natural Science Foundation of China(Nos.41206147,31302187)the Scientific and Technological Innovation Project Financially Supported by Qingdao National Laboratory for Marine Science and Technology(No.2015ASKJ02)
文摘Clip domain serine proteases （cSPs） and their homologs （SPHs） play an important role in various biological processes that are essential components of extracellular signaling cascades, especially in the innate immune responses of invertebrates. Here, polymorphisms of PtcSP and PtSPH from the swimming crab Portunus tritubereulatus were investigated to explore their association with resistance/ susceptibility to Vibrio alginolyticus. Polymorphic loci were identified using Clustal X, and characterized with SPSS 16.0 software, and then the significance of genotype and allele frequencies between resistant and susceptible stocks was determined by a Zz test. A total of 109 and 77 single nucleotide polymorphisms （SNPs） were identified in the genomic fragments of PtcSP and PtSPH, respectively. Notably, nearly half of PtSPH polymorphisms were found in the non-coding exon 1. Fourteen SNPs investigated were significantly associated with susceptibility/resistance to I1. alginolyticus （P〈0.05）. Among them, eight SNPs were observed in introns, and one synonymous, four non-synonymous SNPs and one ins-del were found in coding exons. In addition, five simple sequence repeats （SSRs） were detected in intron 3 of PtcSP. Although there was no statistically significant difference of allele frequencies, the SSRs showed different polymorphic alleles on the basis of the repeat number between resistant and susceptible stocks. After fiarther validation, polymorphisms investigated here might be applied to select potential molecular markers ofP. trituberculatus with resistance to I1. alginolyticus.
基金National Natural Science Foundation of China (10171082), TRAPOYT the Cultivation Fund of the Key Scientific and Technical Innovation Project, Ministry of Education of China
文摘Let R be a ring such that all left semicentral idempotents axe central and α a weakly rigid endomorphism of R. It is shown that the skew power series ring R[[x; α]] is right p.q.Baer if and only if R is right p.q.Baer and any countable family of idempotents in R has a generalized join in I(R), where I(R) is the set of all idempotents of R.
基金supported by National Natural Science Foundation of China(Grant Nos.11026046,11101179,10971071)Doctoral Fund of Ministry of Education of China(Grant No.20100061120096)the Fundamental Research Funds for the Central Universities(Grant No.200903294)
文摘In this paper,we give the notion of derivations of Lie 2-algebras using explicit formulas,and construct the associated derivation Lie 3-algebra.We prove that isomorphism classes of non-abelian extensions of Lie 2-algebras are classified by equivalence classes of morphisms from a Lie 2-algebra to a derivation Lie 3-algebra.
