Year: 2025
Type: article
Abstract: In this paper, every module M is unitary and every ring F is commutative with identity.The paper studied properties of the S-pseudo bounded radical. We used the symbol End ( M ) which means the set of all endomorphism maps of F − module M and S − rad M PS . B . ( ℵ ) refers to the intersection of all S-pseudo bounded submodules of M containing ℵ. The characterization of S-Pseudo bounded radical for finitely generated and multiplication module is given. It must be emphasized that scalar module and prime submodule played a major role in achieving new results and to study the relationship between the radical of submodules and the radical of S-pseudo bounded submodule. In our work, many properties and corollaries were established, which illustrated the concept of the radical of an S-pseudo bounded submodule and a new class of F − modules , as well as F − submodules . Some examples were provided to demonstrate and clarify this type of module (submodule) in a clear and effective manner.
Source: F1000Research
Authors: Amal Madhi Rashid, Buthyna Najad Shihab
Institution: University of Baghdad
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,350
OpenAlex ID: W4417149808