Generalized-hollow lifting modules

Authors

  • Wasan Khalid Hasan Department of Mathematics, College of Science, University of Baghdad, Baghdad

Keywords:

generalized coessential submodule, generalized strong supplement submodule, generalized hollow-lifting module

Abstract

Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is called generalized coessential submodule of N in M, if Rad( ). A module M is called generalized hollow-lifting module, if every submodule N of M with is a hollow module, has a generalized coessential submodule of N in M that is a direct summand of M. In this paper, we study some properties of this type of modules.

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Published

2022-04-28

Issue

Section

Mathematics

How to Cite

Generalized-hollow lifting modules. (2022). Iraqi Journal of Science, 57(3B), 2089-2093. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/6942