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自入射Nakayama代数的Hochschild上同调群
引用本文:向华丽.自入射Nakayama代数的Hochschild上同调群[J].湖北大学学报(自然科学版),2011,33(1):11-16.
作者姓名:向华丽
作者单位:湖北大学数学与计算机科学学院,湖北,武汉,430062
摘    要:设A是有限维零关系代数,描述了A的系数在A⊕kA中的Hochschild上同调复形的诱导的边界映射,并计算了自入射Nakayama代数的系数在A⊕kA中的各阶Hochschild上同调群的维数.

关 键 词:自入射Nakayama代数  诱导边界映射  Hochschild上同调群

Hochschild cohomology groups of self-injective Nakayama algebras
XIANG Huali.Hochschild cohomology groups of self-injective Nakayama algebras[J].Journal of Hubei University(Natural Science Edition),2011,33(1):11-16.
Authors:XIANG Huali
Institution:XIANG Huali(School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China)
Abstract:Let A be a finite-dimensional monomial algebra.Described the induced boundary maps of Hochschild cohomology complex of A with coefficients in AkA,and calculated the dimensions of the Hochschild cohomology group of self-injective Nakayama algebras with coefficients in Ak A.
Keywords:self-injective Nakayama algebra  induced boundary maps  Hochschild cohomology groups
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