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

Content Provider	Springer Nature Link
Author	Tong, Wen Ting Ouyang, Bai Yu
Copyright Year	2003
Abstract	The notion of the xst-rings was introduced by García and Marín [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 n (A), for a unital ring A. Moreover, we describe the properties of those well-known intermediate matrix rings, and show that the exchange property of 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].
Ending Page	380
Page Count	10
Starting Page	371
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	2
Volume Number	19
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-01-01
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Module categories, module theory in a category-theoretic context, Morita equivalence and duality The exchange property Morita context Morita-like equivalence Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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