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Communications in Algebra Volume 44, 2016 - Issue 3
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Original Articles

A Family of Examples of Generalized Perfect Rings

Pınar AydoğduDepartment of Mathematics, Hacettepe University, Beytepe, Ankara, Turkey
&
Dolors HerberaDepartament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, SpainCorrespondence[email protected]
Pages 1171-1180 | Received 08 Sep 2014, Published online: 01 Feb 2016
 
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Abstract

We construct a family of semiprimitive and non von Neumann regular rings satisfying that any right or left module is isomorphic to a quotient of its flat cover (in the sense of Enochs) by a small submodule. This answers in the negative a question posed by A. Amini, B. Amini, M. Ershad, and H. Sharif in 2007.

2010 Mathematics Subject Classification:

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