A Family of Examples of Generalized Perfect Rings

Pınar Aydoğdu; Dolors Herbera

doi:10.1080/00927872.2014.999933

A Family of Examples of Generalized Perfect Rings

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© 2016, Copyright © Taylor & Francis Group, LLC. 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.

Idioma original	Anglès
Pàgines (de-a)	1171-1180
Revista	Communications in Algebra
Volum	44
Número	3
DOIs	https://doi.org/10.1080/00927872.2014.999933
Estat de la publicació	Publicada - 3 de març 2016

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10.1080/00927872.2014.999933

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https://www.scopus.com/pages/publications/84959017177

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abstract = "{\textcopyright} 2016, Copyright {\textcopyright} Taylor \& Francis Group, LLC. 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.",

keywords = "Flat approximation, Flat cover, Flat module, Generalized perfect ring, Pullback",

author = "Pınar Aydoğdu and Dolors Herbera",

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AB - © 2016, Copyright © Taylor & Francis Group, LLC. 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.

KW - Flat approximation

KW - Flat cover

KW - Flat module

KW - Generalized perfect ring

KW - Pullback

UR - https://www.scopus.com/pages/publications/84959017177

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DO - 10.1080/00927872.2014.999933

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JO - Communications in Algebra

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A Family of Examples of Generalized Perfect Rings

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