| 幺半群上的广义内射S-系(英文) |
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| 引用本文： | 闫统江. 幺半群上的广义内射S-系(英文)[J]. 数学进展, 2011, 0(4) |
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| 作者姓名： | 闫统江 |
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| 作者单位： | 山东省东营市中国石油大学数学与计算科学学院; |
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| 摘 要： | 本文考虑拟内射、伪内射、核内射以及支内射S-系的性质,重点讨论这些广义内射S-系的上的线性方程组的性质.例如,A是核内射S-系当且仅当A的任意收缩核B上的任意A-相容线性方程组在B上是可解的;A是支内射S-系当且仅当同构于A的任一分支的S-系B上的任意A-相容线性方程组在B上是可解的.进而讨论了伪内射、核内射以及支内射S-系的融合余积的性质.最后给出了一个充分条件,基于此条件核内射和支内射S-系是等价的.
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| 关 键 词： | 内射S-系 幺半群 线性方程组 |
Generalized Injective S-acts on a Monoid |
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| YAN Tongjiang. Generalized Injective S-acts on a Monoid[J]. Advances in Mathematics(China), 2011, 0(4) |
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| Authors: | YAN Tongjiang |
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| Affiliation: | YAN Tongjiang (College of Mathematics and Computational Sciences,China University of Petroleum,Dongying,Shandong,257061,P.R.China) |
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| Abstract: | In this paper the properties of quasi-injective S-acts,pseudo-injective S-acts, ker-injective S-acts and C-injective S-acts,especially the properties of the linear equation systems on these kinds of generalized injective S-acts,are discussed.For example,A is a kerinjective S-act if and only if every A-compatible linear equation system on the S-act B,an arbitrary kernel of A,is soluble in B.A is a C-injective S-acts if and only if every A-compatible linear equation system on the S-act B which is isomorphic t... |
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| Keywords: | injective S-acts monoid linear equation system |
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