On Exchange QB∞-Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: QB∞-rings exchange rings diagonal reduction
• 年，卷（期）: 2007,（4）
• 页码范围: 613-623
• 页数: 11页
• 语种: 英文

摘要

In this paper, we introduce a new class of rings, the QB∞-rings. We investigate necessary and sufficient conditions under which an exchange ring is a QB∞-ring. The modules over an exchange QB∞-ring are studied. Also, we prove that every regular square matrix over an exchange QB∞-ring admits a diagonal reduction by pseudo-invertible matrices.