Characterizations of Morita-like Equivalences for Right XST-Rings

• 来源期刊: 代数集刊（英文版）
• 关键词: xst-ring Morita-like equivalence Morita context
• 年，卷（期）: 2007,（1）
• 页码范围: 85-95
• 页数: 11页
• 语种: 英文

摘要

The notion of xst-rings was introduced by García and Maria in 1999. In this paper, we characterize Morita-like equivalences for right xst-rings, obtain the universal theory of Morita equivalences, and prove that two right xst-rings R and T are Morita-like equivalent if and only if there is a Morita context between R and T. We also prove that Morita-like equivalences can be realized by the covariant functors Hom and(○) for these rings.