Some generalizations of strongly prime ideals

Authors

  • Habibollah Ansari-Toroghy ‎University of Guilan
  • Faranak Farshadifar
  • Sepideh ‎Maleki-Roudposhti ‎University of Guilan

DOI:

https://doi.org/10.30495/jme.v15i0.1367

Keywords:

Strongly prime ideal‎, ‎strongly 2-absorbing primary ideal‎, ‎strongly 2-absorbing primary submodule‎, ‎strongly 2-absorbing ideal‎, ‎strongly 2-absorbing submodule.

Abstract

‎In this paper‎, ‎we introduce the concepts of strongly 2-absorbing primary ideals (resp.‎, ‎submodules) and strongly 2-absorbing ideals (resp.‎, ‎submodules) as generalizations of strongly prime ideals‎. ‎Furthermore‎, ‎we investigate some basic properties of these‎ ‎classes of ideals‎.

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Published

2020-02-17

Issue

Vol. 15

Section

Vol. 15, No. 2, (2021)

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