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Morita Context and Morita-Like Equivalence for the xst-Rings

OuYang Baiyu ¹ Tong Wenting ²

文摘	The notion of the xst-rings was introduced by Garcia and Marin [5] in 1999. In this paper, we consider Morita context, Morita-like equivalence and the exchange property for the xst-rings. The results of the first Morita theorem are generalized to the xst-rings. So we obtain an important Morita-like equivalence of the xst-rings, from which, as an immediate consequence, we deduce the main result of Xu-Shum-Turner [4] and the standard Morita equivalence, A～M_(A), for a unital ring A. Moreover, we describe the properties of those well-known intermediate matrix rings, and show that the exchange property for a unital ring A coincides with the one for any M_n(A) as well as any intermediate matrix ring sitting between FM_Γ{A) and FC_Γ(A), which is an extension of a well-known result obtained by Nicholson [7].
来源	Acta Mathematica Sinica. English Series ,2003,19(2):371-380 【核心库】
DOI	10.1007/s10114-002-0219-1
关键词	Morita context ; Morita-like equivalence ; The exchange property
地址	1. Department of Mathematics, Hunan Normal University, Changsha, 410081 2. Department of Mathematics, Nanjing University, Nanjing, 210093
语种	英文
文献类型	研究性论文
ISSN	1439-8516
学科	数学
基金	国家自然科学基金
文献收藏号	CSCD:1577868

参考文献共 13 共1页

引证文献 2 篇

1 Baiyu Ouyang A Note on the Morita-like Invariant Property of Grothendieck Groups of Rings Algebra Colloquium,2004,11(2):297-300
CSCD被引 0 次

2 Baiyu Ouyang Characterizations of Morita-like Equivalences for Right XST-Rings Algebra Colloquium,2007,14(1):85-95
CSCD被引 0 次

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