On a generalization of semisimple modules
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Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer India
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Let R be a ring with identity. A module M-R is called an r-semisimple module if for any right ideal I of R, MI is a direct summand of M-R which is a generalization of semisimple and second modules. We investigate when an r-semisimple ring is semisimple and prove that a ring R with the number of nonzero proper ideals <= 4 and J (R) = 0 is r-semisimple. Moreover, we prove that R is an r-semisimple ring if and only if it is a direct sum of simple rings and we investigate the structure of module whenever R is an r-semisimple ring.
Açıklama
Anahtar Kelimeler
Semisimple Modules, Second Modules, Injective Modules
Kaynak
Proceedings Of The Indian Academy Of Sciences-Mathematical Sciences
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
128
Sayı
2
