Open Accesse*-Essential Small Submodules and e*-Hollow Modules
Author(s) -
Hiba Baanoon,
Wasan Khalid
Publication year - 2022
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v15i2.4301
Subject(s) - generalization , mathematics , ring (chemistry) , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , chemistry , organic chemistry
The purpose of this paper is to introduce new concepts in a module  over a ring , the first one is called e*- small essential submodule, which is a generalization of the small submodule, the second concept is called e*-radical submodule which is a generalization of the radical submodule and the last concept is called e* - hollow module which is a generalization of the hollow module. We will prove some properties of all these concepts.