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http://dx.doi.org/10.5831/HMJ.2020.42.3.511

ON COFINITELY CLOSED WEAK δ-SUPPLEMENTED MODULES

Sozen, Esra Ozturk (Department of Mathematics, Sinop University)

Publication Information

Honam Mathematical Journal / v.42, no.3, 2020 , pp. 511-520 More about this Journal

Abstract

A module M is called cofinitely closed weak δ-supplemented (briefly δ-ccws-module) if for any cofinite closed submodule N of M has a weak δ-supplement in M. In this paper we investigate the basic properties of δ-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 δ-ccws module is also a δ-ccws module; (2) Let R be a left δ-V -ring. Then R is a δ-ccws module iff R is a ccws-module iff R is extending; (3) Any nonsingular homomorphic image of a δ-ccws-module is also a δ-ccws-module; (4) We characterize nonsingular δ-V -rings in which all nonsingular modules are δ-ccws.

Keywords

Cofinite submodule; closed submodule; extending module; refinable module; closed weak ${\delta}$ -supplemented module; ccws-module;

Citations & Related Records

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