SOME PROPERTIES FOR ALMOST CELLULAR ALGEBRAS
SOME PROPERTIES FOR ALMOST CELLULAR ALGEBRAS
复制标题
几乎细胞代数的一些性质
DOI：
10.3934/era.2020086
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发表时间：
2021
影响因子：
0.8
通讯作者：
Gao Nan
中科院分区：
文献类型：
--
作者：
Wang Yongjie;Gao Nan
本文主要研究几乎胞腔代数的一些性质。我们比较几乎细胞代数与拟遗传代数，这是已知的进行任何同调和范畴结构。证明了几乎胞腔代数是迭代膨胀代数，得到了几乎胞腔代数\开始{document}$ \mathrm{A} $\end{document}是拟遗传代数的充要条件.
In this paper, we will investigate some properties for almost cellular algebras. We compare the almost cellular algebras with quasi-hereditary algebras, which are known to carry any homological and categorical structures. We prove that any almost cellular algebra is the iterated inflation and obtain some sufficient and necessary conditions for an almost cellular algebra \begin{document}$ \mathrm{A} $\end{document} to be quasi-hereditary.