The main conclusion is as follows : for i > 2 , the hochschild homology hi ( a ) of an algebra a is equal to the the hochschild homology hi ( b ) of the algebra b where b = a / j and j is a heredity ideal of a . c . cibils studied the hochschild cohomology of split algebras with bicom - plexs 本文中，我们首先就一类特殊的同调理想-遗传理想j进行了研究，给出了a和b在次数大于1时其hochschild同调相等的证明，对于其一次和0次hochschild同调可用一个正合列联系它们。
E for an algebra of minimal representation - infinite type with preprojective component , it is simply connected if and only if the vanishing of 1 hochschild cohomology group ; the same conclusion is true for a general algebra with minimal representation - infinite type . in chapter 3 , we computed the fundamental group for hereditary algebra and other special cases , and studied the fundamental group under one point extension 在第二章中我们得到了极小无限表示型代数单连通性的一些结论：对于具有预投射分支的极小无限表示型代数，它是单连通当且仅当其一次hochschild上同调群为零；而对于一般情形的极小无限表示型代数，也是如此。第三章中，我们对基本群在遗传代数等几种特殊情况下，对于一些例子作了计算。
