单连通性 meaning in Chinese
simple connectedness
simple connectivity
Examples
- The relationship of simple connectedness and 1 hochschild cohomology group is very clear for representation - finite algebras
单连通性和一次hochschild上同调群之间的联系，在有限表示型的情形已经很清楚了。 - The notion of fundamental group also came from topology . there are close relations with simple connectedness in representation theory of algebras for fundamental group , as was in algebraic topology
基本群的概念同样来自拓扑学，同它在代数拓扑中一样，它在表示论中与单连通性也有密切的联系。 - Simply connected algebra of representation - finite have been thoroughly studied , since bongartz and gabrie studied it . but the knowledge of simply connected algebra with representation - infinite type is very poor , only some special class of it was carefully invesitigated
有限维代数的单连通性与覆盖理论的关系十分密切，自bongartz和gabriel开始对有限表示型单连通代数研究以来，单连通代数在有限表示型的情形得到了彻底的讨论。 - 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。