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- semisimple endomorphism 半单自同态
- The split graph is given whose endomorphism images are retracts. 给出了任意自同态像图都是收缩核的分裂图的结构.
- Graphs and their strong endomorphism monoids are considered in this paper. 本文研究图及其强自同态幺半群。
- The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces. 然而课程还将简单介绍了基本的黎曼几何和复流形的知识，并会详细讨论半单李群和对称空间的理论。
- A criterion theorem of having no finite coverings for a finitely generated module M over a semisimple ring R is given. 对半单环上有限生成左模给出一个无有限覆盖的判定定理。
- P regularity of the endomorphism monoid of lexicographic product of graphs is discussed. 刻划了具有P-正则自同态幺半群的二分图,讨论了字典序积图的自同态幺半群的P-正则性。
- On these grounds, the sensitivity of semisimple multiple eigenvalues of generalized eigenvalue problems is defined, and the sensitive elements of matrix pairs can be determined. 以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法。
- It stands to reason people who prefer most types of foods will be fatter and people who are the endomorph shape tend to find it more difficult to lose weight. 但合乎情理的是对大多数食品都能美美地享用的人更易长胖,同时肥型体质的人要想减肥的话则更是难上加难。
- In particular, we prove that there are only finitely many equivalence classes for twisted conjugate actions for semisimple Lie groups. 特别地，我们证明了连通半单李群的扭共轭作用只有有限多个等价类。
- The endomorph increased and the mesomorph reduced gradually in girls with the increase of age. 两民族儿童在体型图上各有不同的分布规律。
- This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 本文证明半单李代数上的任何双极化都是对称的，从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- Bipartite graphs with P-regular endomorphism monoids are characterized.P-regularity of the endomorphism monoid of lexicographic product of graphs is discussed. 刻划了具有P-正则自同态幺半群的二分图，讨论了字典序积图的自同态幺半群的P-正则性.
- Abstract: This paper proves that any dipolarization in a real or complex semisimple Lie algebra is symmetric. Thus a complete answer to the open problem in reference[2] is gaven. 文摘:本文证明半单李代数上的任何双极化都是对称的，从而解决了金行壮二于1993年提出的一个待解的问题.;并给出了有关结果的一些应用
- It gets some results about the relation between the direct summands of an additive group and the summands of the endomorphism ring of this additive group. 得到了关于加法群的直和项与其自同态环的直和项间相互刻画的一些结论。
- The aim of this paper is to construct a class of quasi-hereditary endomorphism algebras with global dimension 3 from the algebras of representation dimension at most three. 摘要介绍了表示维数小于等于3的一类非常重要的代数，并从这类代数出发，构造了一类新的整体维数小于等于3的拟遗传自同态代数。
- Abstract： Bipartite graphs with P-regular endomorphism monoids are characterized.P-regularity of the endomorphism monoid of lexicographic product of graphs is discussed. 摘要 ：刻划了具有P-正则自同态幺半群的二分图，讨论了字典序积图的自同态幺半群的P-正则性.
- Created through endomorphism. 内变质的由内变质作用产生的
- The basic properties of matrix subalgebra were investiaged, the matrix subalgebra was generated by a single matrix, all maximal ideals were classified, the necessary and sufficient conditions for the subalgebra to be semisimple algebra were given. 摘要研究了由一个矩阵生成的拒阵子代数的基本性质，给出了其极大理想的完全分类及这类子代数是半单代数的充要条件。
- The concepts of atom and branch are introduced in the BCH algebra, a series of equivalence conditions about judging atom of the BCH algebra are given, It is proved that the set which all atoms of a BCH algebra are made up is a p semisimple BCI algebra. 在 BCH-代数中引入了原子与分支的概念 ;给出了一个元素为 BCH-代数原子的一系列等价条件 ;证明了一个 BCH-代数的所有原子做成的集合是一个 p-半单 BCI-代数 .
- After introducing some preliminaries and notations,the paper investigates semisimple Malcev algebras,giving some equivalent definitions and properties of semisimple Malcev algebras. 在列举了一些马力茨夫代数的基本知识之后;主要讨论了半单马力茨夫代数.;给出了半单马力茨夫代数的几个等价定义和性质
