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RINGS WITH VARIATIONS OF FLAT COVERS

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info:eu-repo/semantics/closedAccess

Date

01.12.2019

Author

Demirci, Yilmaz Mehmet
Turkmen, Ergul

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Abstract

We introduce flat e-covers of modules and define e-perfect rings as a generalization of perfect rings. We prove that a ring is right perfect if and only if it is semilocal and right e-perfect which generalizes a result due to N. Ding and J. Chen. Moreover, in the light of the fact that a ring R is right perfect if and only if flat covers of any R-module are projective covers, we study on the rings over which flat covers of modules are (generalized) locally projective covers, and obtain some characterizations of (semi) perfect, A-perfect and B-perfect rings.

Source

HONAM MATHEMATICAL JOURNAL

Volume

Volume: 41

Issue

4

URI

https://doi.org/ 10.5831/HMJ.2019.41.4.799
https://hdl.handle.net/20.500.12573/570

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  • Mühendislik Bilimleri Bölümü Koleksiyonu [7]



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