Some generalizations of strongly prime ideals

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

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.


Keywords


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

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