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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.
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참고문헌 (23)
참고문헌 신청
A. Amini / 2007 / On generalized perfect rings / Comm. Algebra 35(3):953~963
A. Amini / 2008 / Rings over which flat covers of finitely generated modules are projective / Comm. Algebra 36(8):2862~2871
F. W. Anderson / 1992 / Rings and Categories of Modules, Graduate Texts in Mathematics 13 / Springer-Verlag
P. Aydogdu / 2013 / Rings over which every module has a flat ffi-cover / Turkish J. Math 37(1):182~194
G. Azumaya / 1990 / Some characterizations of regular modules / Publ. Mat 34:241~248
A. Amini / 2008 / Rings over which flat covers of finitely generated modules are projective / Comm. Algebra 36(8):2862~2871
F. W. Anderson / 1992 / Rings and Categories of Modules, Graduate Texts in Mathematics 13 / Springer-Verlag
P. Aydogdu / 2013 / Rings over which every module has a flat ffi-cover / Turkish J. Math 37(1):182~194
G. Azumaya / 1990 / Some characterizations of regular modules / Publ. Mat 34:241~248
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