s-Compressible and s-Prime Modules

Authors

  • Asaad M. A. Alhossaini Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Iraq https://orcid.org/0000-0002-4569-3352

DOI:

https://doi.org/10.24996/ijs.2022.63.3.25

Keywords:

critically s-compressible module, retractable module s-compressible module, s-rime module, small submodule

Abstract

   Let R be a ring with identity and Ą a left R-module. In this article, we introduce new generalizations of compressible and prime modules, namely s-compressible module and s-prime module. An R-module A is s-compressible if for any nonzero submodule B of A there exists a small f in HomR(A, B). An R-module A is s-prime if for any submodule B of A, annR (B) A is small in A. These concepts and related concepts are studied in as well as  many results consist properties and characterizations are obtained.  

Downloads

Download data is not yet available.

Downloads

Published

2022-03-30

How to Cite

Alhossaini, A. M. A. . (2022). s-Compressible and s-Prime Modules. Iraqi Journal of Science, 63(3), 1200–1207. https://doi.org/10.24996/ijs.2022.63.3.25

Issue

Section

Mathematics