Weakly Nearly Primary Submodules
DOI:
https://doi.org/10.29304/jqcsm.2025.17.11982Keywords:
Weakly nearly primary submodules, Weakly prime submodules, Compressible module, Zero divisor, Secondary moduleAbstract
The concept of weakly nearly primary submodule in this paper is a new generalization of weakly prime submodule. Several basic properties and examples of this concept were established. Furthermore, many characterizations of weakly nearly primary submodules are given. Moreover, we show that by example the residual of a weakly nearly primary submodule need not be a weakly nearly primary ideal, but the converse holds under sufficient conditions. Finally, in this paper, we stand for a commutative ring with identity and is a unitary left -module.
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Copyright (c) 2025 Ali Sh. Ajeel, Khaled Y. Jhad
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
