Large-Coessential and Large-Coclosed Submodules

Amira A.  Abduljaleel; Sahira M.  Yaseen

doi:10.24996/ijs.2021.62.11.26

Authors

Amira A. Abduljaleel Mathematics Department, College of Science, University of Baghdad, Baghdad, Iraq
Sahira M. Yaseen Mathematics Department, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.11.26

Keywords:

L-small submodule, L-coessential submodule, L-coclosed submodule

Abstract

The goal of this research is to introduce the concepts of Large-coessential submodule and Large-coclosed submodule, for which some properties are also considered. Let M be an R-module and K, N are submodules of M such that , then K is said to be Large-coessential submodule, if . A submodule N of M is called Large-coclosed submodule, if K is Large-coessential submodule of N in M, for some submodule K of N, implies that .