The Hochschild Cohomology of the Chinese Monoid Algebra

作     者：Hassan Alhussein 

作者机构：Siberian State University of Telecommunications and InformaticsNovosibirskRussia Novosibirsk State University of Economics and ManagementNovosibirskRussia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2022年第29卷第4期

页      面：619-632页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Hochschild cohomology Anick resolution Grobner-Shirshov basis Morse matching 

摘      要：In this work we find the groups of Hochschild cohomologies for the Chinese monoid algebra and derive its Hilbert and Poincaré*** order to obtain this result we construct the Anick resolution via the algebraic discrete Morse theory and Grobner-Shirshov basis for the Chinese monoid.