ON GENERALIZATIONS OF SEMIPERFECT AND PERFECT RINGS
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iranian Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Flat cover, flat B-cover, flat strong cover, G-semiperfect ring, perfect ring
Kaynak
Bulletin of the Iranian Mathematical Society
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
42
Sayı
6
