$n$-absorbing and strongly $n$-absorbing second submodules

Habibollah Ansari-Toroghy; Faranak Farshadifar; Sepideh ‎Maleki-Roudposhti

doi:10.5269/bspm.40012

Habibollah Ansari-Toroghy ‎University of Guilan http://orcid.org/0000-0001-7310-0924
Faranak Farshadifar Farhangian University http://orcid.org/0000-0001-7600-994X
Sepideh ‎Maleki-Roudposhti ‎University of Guilan http://orcid.org/0000-0002-2207-3636

Keywords: Strongly $n$-absorbing second submodule‎, ‎$n$-absorbing second submodule‎, ‎weakly strongly 2-absorbing second submodule‎.

Abstract

‎In this paper‎, ‎we introduce the concepts of $n$-absorbing and strongly $n$-absorbing second submodules as a dual notion of $n$-absorbing submodules of modules over a commutative ring and obtain some related results‎. ‎In particular‎, ‎we investigate some results concerning strongly 2-absorbing second submodules‎.

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