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正则半群代数的广义胞腔性

Generalized Cellularity of Regular Semigroup Algebras

摘要:胞腔代数是近年来备受关注的一种代数结构,而正则半群是一类重要的半群,是半群代数理论的主要研究领域之一。基于Du和Rui所提出的一类广义胞腔代数标准基代数,对正则半群代数的广义胞腔性进行了研究。

英文摘要:Cellular algebra is an algebraic structure received considerable attention in recent years, and regular semigroup is an important semigroup, which is one of the main research fields of semigroup algebra theory. Based on the standardly based algebra proposed by Du and Rui, which is a kind of generalized cellular algebra, and the generalized cellularity of regular semigroup algebra is studied.

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[V3] 2022-08-07 15:43:35 chinaXiv:202208.00006V3 下载全文
[V2] 2022-08-03 01:31:26 chinaXiv:202208.00006v2 查看此版本 下载全文
[V1] 2022-08-02 13:34:40 chinaXiv:202208.00006v1 查看此版本 下载全文
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