| BCI-代数链复形的同调代数 |
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| 引用本文： | 胡庆平.BCI-代数链复形的同调代数[J].黄冈师范学院学报,1991(2). |
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| 作者姓名： | 胡庆平 |
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| 作者单位： | 西北大学数学系 |
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| 摘 要： | 本文在BCI-代数的正规链复形和链映射概念的基础上,引入了BCI-代数的同调代数的概念,得到了一些结果,尤其得到了BCI-同调代数的同构不变性。本文还给出了一类正规链复形—结合BCI-代数链复形。本文的一些结果可应用于对合群、Boole代数、幂集代数(运算是对称差)这三类代数,分别得到相应的同调代数的一些结果。
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| 关 键 词： | BCI-代数 链复形 同调代数 正规链复形 范畴 |
THE HOMOLOGICAL ALGEBRAS OF CHAIN COMPLEXES OF BCI-ALGEBRAS |
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| Hu Qingping.THE HOMOLOGICAL ALGEBRAS OF CHAIN COMPLEXES OF BCI-ALGEBRAS[J].Journal of Huanggang Normal University,1991(2). |
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| Authors: | Hu Qingping |
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| Institution: | Hu Qingping |
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| Abstract: | In this paper the author has done some basic discussion for BCI-algebras with the method of homological algebras. On the basis of the concepts on the normal chain complexes and the chain mappings of BCI-algebras the author further introduced the concept of homological algebras of BCI-algebras. In the paper the author has done some discussion for the properties of BCI-homological algebras, and has got some results, especially isomorphic invariance of BCI-homological algebras. In the paper the au- thor has shown that there are normal chain complexes. Except trivial chain complexes, he also has given out a class of normal chain complexes--associative BCI-algebraic chain complexes. |
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| Keywords: | BCI-algebra chain complex homological algebra normal chain comples category |
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