Rings With Variations of Flat Covers
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Honam Mathematical Soc
Open Access Color
Green Open Access
No
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No
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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.
Description
Demirci, Yilmaz Mehmet/0000-0003-3802-4211
ORCID
Keywords
Flat E-Cover, E-Perfect Ring, Flat-Locally Projective Cover, Perfect Ring, flat-locally projective cover, e-perfect ring, perfect ring, Free, projective, and flat modules and ideals in associative algebras, flat e-cover, Noncommutative local and semilocal rings, perfect rings
Fields of Science
Citation
WoS Q
Q4
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N/A
OpenCitations Citation Count
N/A
Source
Honam Mathematical Journal
Volume
41
Issue
4
Start Page
799
End Page
812
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