Affiliation:
1. Department of Mathematics and Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
Abstract
Let M be a non-zero module over an associative (not necessarily commutative) ring. In this paper, we investigate the so-called second and coprime submodules of M. Moreover, we topologize the spectrum Spec s (M) of second submodules of M and the spectrum Spec c (M) of coprime submodules of M, study several properties of these spaces and investigate their interplay with the algebraic properties of M.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
18 articles.
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1. Zariski topology on the secondary-like spectrum of a module;Open Mathematics;2024-01-01
2. Dual Zariski Spaces of Modules;Algebra Colloquium;2023-11-28
3. On S-second spectrum of a module;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-08-27
4. PS-hollow representations of modules over commutative rings;Journal of Algebra and Its Applications;2021-09-16
5. Spectrum of Secondary Submodules;Journal of Physics: Conference Series;2021-05-01