On Simple Connectedness of Minimal Representation-Infinite Algebras

• 作者: Hailou Yao Guoqiang Han
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 代数闭域 连通性 极小 Hochschild 上同调群 简单证明 等价条件 单连通
• 年，卷（期）: 2015,（4）
• 页码范围: 639-654
• 页数: 16页
• 分类号: O153.3
• 语种: 中文

摘要

Let A be a connected minimal representation-infinite algebra over an alge- braically closed field k. In this paper, we investigate the simple connectedness and strong simple connectedness of A. We prove that A is simply connected if and only if its first Hochschild cohomology group Hi (A) is trivial. We also give some equivalent conditions of strong simple connectedness of an algebra A.