International Journal of Nonlinear Analysis and Applications

Nearly locally hollow modules

Document Type : Research Paper

Author

Department of Mathematics, College of Education for Pure Science, University of Tikrit, Tikrit, Iraq

Abstract

Let R be a commutative ring with identity and let M be an R-module. This study presents the nearly locally hollow module that's a strong form of a hollow module. We present that an R-module M is nearly locally hollow if M has a unique semi-maximal sub-module that contains all small sub-modules of M. The current study deals with this class of modules and gives several fundamental properties related to this concept.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 2293-2301
  • Receive Date: 01 December 2021
  • Revise Date: 21 December 2021
  • Accept Date: 29 December 2021