
Semi -T- Small Submodules
Author(s) -
Alaa A. Elewi
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.6.20
Subject(s) - generalization , mathematics , identity (music) , ring (chemistry) , pure mathematics , combinatorics , discrete mathematics , physics , mathematical analysis , chemistry , organic chemistry , acoustics
Let be a ring with identity and be a submodule of a left - module . A submodule of is called - small in denoted by , in case for any submodule of , implies . Submodule of is called semi -T- small in , denoted by , provided for submodule of , implies that . We studied this concept which is a generalization of the small submodules and obtained some related results