Large-Coessential and Large-Coclosed Submodules

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  .

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Published

2021-11-30

How to Cite

Abduljaleel , A. A. ., & Yaseen, S. M. . (2021). Large-Coessential and Large-Coclosed Submodules. Iraqi Journal of Science, 62(11), 4065–40670. https://doi.org/10.24996/ijs.2021.62.11.26

Issue

Section

Mathematics