Open Access
Some Properties of Local Modules
Author(s) -
Firas N. Hameed,
Karim S. Kalaf
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 - 10.1088/1742-6596/1818/1/012167
Subject(s) - mathematics , finitely generated abelian group , local ring , pure mathematics , discrete mathematics , combinatorics , ring (chemistry) , chemistry , organic chemistry
In this paper, we study an important concept namely local module. Some new result and properties have been studied in this note. A module M is local if it has a unique maximal submodule. We prove that when M is projective and finitely generated with largest maximal submodule, this mean M is local.