Demirci, Yilmaz MehmetTurkmen, Ergul2021-03-032021-03-0320192288-61761225-293Xhttps://doi.org/ 10.5831/HMJ.2019.41.4.799https://hdl.handle.net/20.500.12573/570We 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.enginfo:eu-repo/semantics/closedAccessperfect ringflat-locally projective covere-perfect ringflat e-coverarticleVolume: 414799812