Open AccessPseudo maximal submodules
Author(s) -
Hairan I. Faris,
Rana H. Jasim,
Nada J. Mohammed
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 - 10.1088/1742-6596/1818/1/012055
Subject(s) - commutative ring , mathematics , generalization , unitary state , multiplication (music) , characterization (materials science) , identity (music) , pure mathematics , commutative property , class (philosophy) , ring (chemistry) , discrete mathematics , algebra over a field , arithmetic , combinatorics , computer science , mathematical analysis , physics , chemistry , optics , organic chemistry , artificial intelligence , political science , acoustics , law
“Let R be a commutative ring with identity and β be left unitary R − module”. We introduced in this paper the concept of pseudo maximal submodule which was a new generalization of the concept of maximal submodule, several basic properties, of this concept are given. Furthermore, characterization of this concept in the class of multiplication modules are introduced. “Moreover the pseudo Jacobson radical of modules and submodules are investigated”.