A family of examples of generalized perfect rings
Rings and Algebras
2025-12-24 v1
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 (2007).
Keywords
Cite
@article{arxiv.2512.19813,
title = {A family of examples of generalized perfect rings},
author = {Pınar Aydoğdu and Dolors Herbera},
journal= {arXiv preprint arXiv:2512.19813},
year = {2025}
}
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9 pages