TY - JOUR ID - 901 TI - On generalizations of semiperfect and perfect rings JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Mehmet Demirci, Y. AD - Department of Mathematics, Sinop University, 57000, Sinop, Turkey. Y1 - 2016 PY - 2016 VL - 42 IS - 6 SP - 1441 EP - 1450 KW - Flat cover‎ KW - ‎flat $B$-cover‎ KW - ‎flat strong cover‎ KW - ‎$G$-semiperfect ring‎ KW - ‎perfect ring‎ DO - N2 - ‎We call a ring $R$ right generalized semiperfect if every simple right $R$-module is an epimorphic image of a flat right $R$-module with small kernel‎, ‎that is‎, ‎every simple right $R$-module has a flat $B$-cover‎. ‎We give some properties of such rings along with examples‎. ‎We introduce flat strong covers as flat covers which are also flat $B$-covers and give characterizations of $A$-perfect‎, ‎$B$-perfect and perfect rings in terms of flat strong covers. UR - http://bims.iranjournals.ir/article_901.html L1 - http://bims.iranjournals.ir/article_901_546323e6ae36551a0f01a84955ee0e0c.pdf ER -