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

Author:

Ansari-Toroghy HabibollahORCID,Farshadifar FaranakORCID,‎Maleki-Roudposhti SepidehORCID

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.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

Reference27 articles.

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2. H. Ansari-Toroghy and F. Farshadifar, Some generalizations of second submodules, Palestine Journal of Mathematics, 8 (2) (2019), 159–168.

3. H. Ansari-Toroghy and F. Farshadifar, Classical and strongly classical 2-absorbing second submodules, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69 (1) (2020), 123-136.

4. H. Ansari-Toroghy and F. Farshadifar, 2-absorbing and strongly 2-absorbing secondary submodules of modules, Le Matematiche 72 (11), 123-135, (2017).

5. H. Ansari-Toroghy and F. Farshadifar, The dual notion of multiplication modules, Taiwanese J. Math. 11 (4), 1189–1201, (2007).

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1. Some remarks on the dual notion of n-absorbing primary submodules;Journal of Algebra and Its Applications;2023-10-20

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