The Hochschild Cohomology of the Chinese Monoid Algebra  

作　　者：Hassan Alhussein 

机构地区：[1]Siberian State University of Telecommunications and Informatics,Novosibirsk,Russia Novosibirsk State University of Economics and Management,Novosibirsk,Russia

出　　处：《Algebra Colloquium》2022年第4期619-632,共14页代数集刊（英文版）

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

关 键 词：Hochschild cohomology Anick resolution Grobner-Shirshov basis Morse matching 

分 类 号：O15[理学—数学]