Open AccessTr-Rationally Closed Submodules and RCLS-Modules
Author(s) -
Zahraa Moaed Abd Al-Majeed,
Mahdi Saleh Nayef
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 - 10.1088/1742-6596/1963/1/012024
Subject(s) - computer science , mathematics , algebra over a field , pure mathematics
: In this paper, we introduce two concepts. Firstly, the, concept of T r -rationally closed,a sub module H is called T r -rationally closed if W/H is T r -torsion free. And second, the concept of Rcls-module, W is called Rcls-module if every T r -rationally closed sub module in W is a direct summand. Several properties about these two concepts have been given. In addition, we discussed these notions with other related concepts.