Affiliation:
1. Mathematics Department, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran
Abstract
By considering the notion of multiplication modules over a commutative ring with identity, first we introduce the notion product of two submodules of such modules. Then we use this notion to characterize the prime submodules of a multiplication module. Finally, we state and prove a version of Nakayama lemma for multiplication modules and find some related basic results.
Subject
Mathematics (miscellaneous)
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. The relation between generalized notions of radical formula of a module;Communications in Algebra;2023-09-23
2. Generalizations of S-semiprime submodules;Asian-European Journal of Mathematics;2023-09-06
3. On weakly S-primary submodules;Filomat;2023
4. An investigation into the module theory of multiplicative subsets;PHYSICAL MESOMECHANICS OF CONDENSED MATTER: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonlinear Behavior: MESO2022;2023
5. On Modules Satisfying S-Noetherian Spectrum Condition;Communications in Mathematics and Statistics;2022-03-29