Open AccessJ-semi regular modules
Author(s) -
Lewaa R. Turki,
Wasan Khalid
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1818/1/012215
Subject(s) - generalization , mathematics , ring (chemistry) , identity (music) , pure mathematics , combinatorics , discrete mathematics , topology (electrical circuits) , physics , mathematical analysis , chemistry , organic chemistry , acoustics
Let R be a ring with identity and let M be a left R-module. M is called J-semiregular module if every cyclic submodule of M is J-lying over a projective summand of M , The aim of this paper is to introduce properties of J-semiregular module Especially, we give characterizations of J-semiregular module. On the other hand, the notion of J-semi hollow modules is studied as a generalization of semi hollow modules, finally F -J-semiregular modules is studied as a generalization of F -semiregular modules.