Title of article
Nearly locally hollow modules
Author/Authors
Abdullah, Nada K. Department of Mathematics - College of Education for Pure Science - University of Tikrit, Tikrit, Iraq
Pages
9
From page
2293
To page
2301
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
Nearly locally hollow module , R-module , sub-module , hollow module
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2713124
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