Boletim da Sociedade Paranaense de Matemática (Oct 2020)

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

  • Habibollah Ansari-Toroghy,
  • Faranak Farshadifar,
  • Sepideh ‎Maleki-Roudposhti

DOI
https://doi.org/10.5269/bspm.40012
Journal volume & issue
Vol. 39, no. 1

Abstract

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‎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.

Keywords