已知自由代数 Fm 的 E(n)-模代数 Fm(Γ),对于数域 k 上的任一 m × m 矩阵 A,笔者定义了 Fm(Γ)的一个代数自同态φA ,证明了φA 是 Fm(Γ)的一个 E(n)-模代数自同构的充要条件是ΓA =Γ,并进一步给出了φA 成为两...已知自由代数 Fm 的 E(n)-模代数 Fm(Γ),对于数域 k 上的任一 m × m 矩阵 A,笔者定义了 Fm(Γ)的一个代数自同态φA ,证明了φA 是 Fm(Γ)的一个 E(n)-模代数自同构的充要条件是ΓA =Γ,并进一步给出了φA 成为两个不同的 E(n)-模代数之间同构的等价条件。展开更多
1.设 S 是含有极小单侧理想的单纯环,且其左秩(或右秩)是可列无限维,则 S 可以环同构地嵌入到它的一个子除环上 N 阶几乎是零的矩阵环中.2.引入可列维局部矩阵环的概念,并证明了若 S 是含有极小单侧理想的单纯环,且 S 的左秩(或右秩)是...1.设 S 是含有极小单侧理想的单纯环,且其左秩(或右秩)是可列无限维,则 S 可以环同构地嵌入到它的一个子除环上 N 阶几乎是零的矩阵环中.2.引入可列维局部矩阵环的概念,并证明了若 S 是含有极小单侧理想的单纯环,且 S 的左秩(或右秩)是可列维的,则 S 是其子除环上可列维局部矩阵环.3.证明了定理2.3,本原环的同构定理可作为其直接结果.展开更多
The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In thi...The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In this paper ,some properties of power ring and quasi_quotient ring are further studied based on paper [3~6].Especially,several theorems of homomorphism and isomorphism of regular power ring are established.展开更多
pdi gene from Medicago sativa L. ,encoding Protein Disulfide Isomerase( mPDI ), has been cloned and sequenced. According to the mRNA and amino acid sequence, the character of mPDI such as the physical and chemical p...pdi gene from Medicago sativa L. ,encoding Protein Disulfide Isomerase( mPDI ), has been cloned and sequenced. According to the mRNA and amino acid sequence, the character of mPDI such as the physical and chemical properties, hydrophilicity/hydrophobicity, signal peptide, secondary structure, coiled coil, transmembrane domains, O-glycogylation site, active site, subcellular localization, functional structural domains and three-dimensional structure were analyzed by a series of bioinformatics software. The results showed that mPDI was a hydrophobic and stable protein with 3 coiled coils, 30-glycogylation sites, 2 structural domains of thioredoxin, 2 active sites of thioredoxin, and located in rough endoplasmic reticulum. It has 512 amino acids, the theoretical pl is 4.98, and signal peptide located in 1-24AA. In the secondary structure, a-helix, random coil, extended chain is 26.37%, 53.32%, 20.31% respectively. The validation of modeling accords with the stereochemistry.展开更多
文摘已知自由代数 Fm 的 E(n)-模代数 Fm(Γ),对于数域 k 上的任一 m × m 矩阵 A,笔者定义了 Fm(Γ)的一个代数自同态φA ,证明了φA 是 Fm(Γ)的一个 E(n)-模代数自同构的充要条件是ΓA =Γ,并进一步给出了φA 成为两个不同的 E(n)-模代数之间同构的等价条件。
文摘1.设 S 是含有极小单侧理想的单纯环,且其左秩(或右秩)是可列无限维,则 S 可以环同构地嵌入到它的一个子除环上 N 阶几乎是零的矩阵环中.2.引入可列维局部矩阵环的概念,并证明了若 S 是含有极小单侧理想的单纯环,且 S 的左秩(或右秩)是可列维的,则 S 是其子除环上可列维局部矩阵环.3.证明了定理2.3,本原环的同构定理可作为其直接结果.
文摘The upgrade of all kinds of algebraic structures has been emphasized with the development of fuzzy mathematics.The concept of hypergroup was raised first by Prof.LI Hong_xing in [1]and HX ring was done in [2].In this paper ,some properties of power ring and quasi_quotient ring are further studied based on paper [3~6].Especially,several theorems of homomorphism and isomorphism of regular power ring are established.
文摘pdi gene from Medicago sativa L. ,encoding Protein Disulfide Isomerase( mPDI ), has been cloned and sequenced. According to the mRNA and amino acid sequence, the character of mPDI such as the physical and chemical properties, hydrophilicity/hydrophobicity, signal peptide, secondary structure, coiled coil, transmembrane domains, O-glycogylation site, active site, subcellular localization, functional structural domains and three-dimensional structure were analyzed by a series of bioinformatics software. The results showed that mPDI was a hydrophobic and stable protein with 3 coiled coils, 30-glycogylation sites, 2 structural domains of thioredoxin, 2 active sites of thioredoxin, and located in rough endoplasmic reticulum. It has 512 amino acids, the theoretical pl is 4.98, and signal peptide located in 1-24AA. In the secondary structure, a-helix, random coil, extended chain is 26.37%, 53.32%, 20.31% respectively. The validation of modeling accords with the stereochemistry.