ON COFINITELY CLOSED WEAK δ-SUPPLEMENTED MODULES
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Honam Mathematical Soc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A module M is called cofinitely closed weak delta-supplemented (briefly delta-ccws-module) if for any cofinite closed submodule N of M has a weak delta-supplement in M: In this paper we investigate the basic properties of delta-ccws modules. In the light of this study, we can list the main facts obtained as following: (1) Any cofinite closed direct summand of a delta-ccws module is also a delta-ccws module; (2) Let R be a left delta-V-ring. Then R is a delta-ccws module iff R is a ccws-module iff R is extending; (3) Any nonsingular homomorphic image of a delta-ccws-module is also a delta-ccws-module; (4) We characterize nonsingular delta-V-rings in which all nonsingular modules are delta-ccws.
Açıklama
Anahtar Kelimeler
Cofinite submodule, closed submodule, extending module, refinable module, closed weak ffi-supplemented module, ccws-module
Kaynak
Honam Mathematical Journal
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
42
Sayı
3
