Open AccessOn small (T-extending) module
Author(s) -
Zainab Rzaij Mohammad,
Sahira Mahmood Yassin
Publication year - 2020
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 - 10.1088/1742-6596/1530/1/012059
Subject(s) - associative property , mathematics , identity (music) , ring (chemistry) , discrete mathematics , combinatorics , pure mathematics , physics , chemistry , organic chemistry , acoustics
Let R be associative ring with identity and let N be a left R-module . We introduce the concept of small T-extending module. Let T be a submodule of a module N. We say that N is ST-extending module (ST-extending), if every submodule of N which is contains T is small T-essential in a T-direct summand of N. And some basic properaties of this concept.