Title of article
Notes on reduced, artinian and multiplication modules
Author/Authors
A’zami ، Jafar Department of Mathematics - Faculty of Mathematical Sciences - University of Mohaghegh Ardabili , Savaedi ، Mahdieh Department of Mathematics - Islamic Azad University, Sosangerd Branch
From page
108
To page
115
Abstract
Let M be a unitary module over a commutative ring R with identity. In this paper we consider the concepts of Artinian, semi-Artinian, reduced and multiplication modules . Also we call an R-module M radical, if it has no maximal submodule. By P(M) we denote the sum of the radical submodules of M and we show that P(M/(P(M)) = 0.
Keywords
Artinian modules , Associated primes , Semi , Artinian modules , Multiplication modules , Reduced modules
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774426
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