中国一元代数的Hochschild上同调

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2022-12-01 DOI:10.1142/s1005386722000438

H. AlHussein

引用次数: 1

摘要

在本文中，我们找到了中国一元代数的Hochschild上同调群，并推导出了它的Hilbert和poincarcarr级数。为了得到这一结果，我们利用代数离散Morse理论和Gröbner-Shirshov基础构造了中国单群的Anick分辨率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Hochschild Cohomology of the Chinese Monoid Algebra

In this work we find the groups of Hochschild cohomologies for the Chinese monoid algebra and derive its Hilbert and Poincaré series. In order to obtain this result we construct the Anick resolution via the algebraic discrete Morse theory and Gröbner–Shirshov basis for the Chinese monoid.

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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.