Published January 1, 2016 | Version v1
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A FAMILY OF EXAMPLES OF GENERALIZED PERFECT RINGS

  • 1. Hacettepe Univ, Dept Math, Ankara, Turkey
  • 2. Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

Description

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.

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