Year: 2024
Type: article
Abstract: The module is cofinitely rationally closed weak supplemented module (denoted by CRCWS-module) if every cofinite rationally closed submodule of has weak supplement submodule in . The CRCWS- module is stronger generalize of closed cofinitely weak supplemented modules. In addition, we present a rationally closed weak supplemented modules (denoted by RCWS-module) which is a stronger generalize of closed weak supplemented modules. The relationships of our concepts to other related concepts was discussed and studied, and we give the conditions that make them equivalent were given. And also, we gave the necessary condition that makes the direct sum of RCWS-module (or CRCWS-module) is RCWS-module (CRCWS-module).
Source: Iraqi Journal of Science
Authors: Mahdi Saleh Nayef, Zahraa Abbas Fadel
Institutions: Mustansiriyah University, Ministry of Education
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Mustansiriyah University
OpenAlex ID: W4405952256