Title of article
The secondary radicals of submodules
Author/Authors
Ansari-Toroghy, Habibollah Department of pure Mathematics - Faculty of mathematical Sciences - University of Guilan, Rasht, Iran , Farshadifar, Faranak Department of Mathematics - Farhangian University, Tehran, Iran , Mahboobi-Abkenar, Farideh Department of pure Mathematics - Faculty of mathematical Sciences, University of Guilan, Rasht, Iran
Pages
13
From page
1
To page
13
Abstract
Let R be a commutative ring with identity and let M be an R-module. In this paper, we will introduce the secondary radical of a submodule N of M as the sum of all secondary submodules of M contained in N, denoted by sec∗(N), and explore the related properties. We will show that this class of modules contains the family of second radicals properly and can be regarded as a dual of primary radicals of submodules of M.
Keywords
Secondary module , completely irreducible submodule , and secondary radical
Journal title
Journal of Algebraic Structures and Their Applications
Serial Year
2020
Record number
2605281
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