The (Quasi-)Baerness of Skew Group Ring and Fixed Ring

• 作者: Hailan Jin Qinxue Zhao
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: BAER RING Quasi-Baer RING MORITA Context RING SKEW Group RING Fixed RING Simple RING
• 年，卷（期）: 2011,（6）
• 页码范围: 363-366
• 页数: 4页
• 分类号: O1

摘要

In this paper, the (quasi-)Baerness of skew group ring and fixed ring is investigated. The following two results are obtained: if R is a simple ring with identity and G an outer automorphism group, then R G is a Baer ring;if R is an Artinian simple ring with identity and G an outer automorphism group, then RG is a Baer ring. Moreover, by decomposing Morita Context ring and Morita Context Theory, we provided several conditions of Morita Context ring, which is formed of skew group ring and fixed ring, to be (quasi-)Baer ring.