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math.AC2019
Some generalizations of strongly prime ideals
H. Ansari-Toroghy, F. Farshadifar, S. Maleki-Roudposhti
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 strong…
math.AC2019
2-irreducible and strongly 2-irreducible submodules of a module
Faranak Farshadifar, Habibollah Ansari-Toroghy
Let R be a commutative ring with identity and M be an R-module. In this paper, we will introduce the concept of 2-irreducible (resp., strongly 2- irreducible) submodules of M as a…