THE HOMOLOGY OF DIGRAPHS AS A GENERALIZATION OF HOCHSCHILD HOMOLOGY

被引：3

作者：

Turner, Paul ^{[1
,2
]}

Wagner, Emmanuel ^{[3
]}

机构：

[1] Univ Fribourg, Dept Math, CH-1700 Fribourg, Switzerland

[2] Univ Geneva, Sect Math, CH-1211 Geneva, Switzerland

[3] Univ Bourgogne, Inst Math Bourgogne, UMR 5584, CNRS, F-21078 Dijon, France

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2012年 / 11卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

Chromatic graph homology; Hochschild homology; directed graph;

D O I：

10.1142/S0219498811005555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Przytycki has established a connection between the Hochschild homology of an algebra A and the chromatic graph homology of a polygon graph with coefficients in A. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra. In this paper we define a new homology theory for directed graphs which takes coefficients in an arbitrary A-A bimodule, for A possibly non-commutative, which on polygons agrees with Hochschild homology through a range of dimensions.

引用

页数：13

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