On M-injective and M-projective Modules
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
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Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A left R-module M is called max-injective (or m-injective for short) if for any maximal left ideal I,any homomorphism f : I ? M can be extended to g : R ? M, if and only if Ext1R(R/I, M) = 0for any maximal left ideal I. A left R-module M is called max-projective (or m-projective for short)if Ext1R(M, N) = 0 for any max-injective left R-module N. We prove that every left R-module has aspecial m-projective precover and a special m-injective preenvelope. We characterize C-rings, SF ringsand max-hereditary rings using m-projective and m-injective modules.
Açıklama
Anahtar Kelimeler
Matematik
Kaynak
Mathematical Sciences and Applications E-Notes
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
1
