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math.AC2022
Semi r-ideals of commutative rings
Hani A. Khashan, Ece Yetkin Celikel
For commutative rings with identity, we introduce and study the concept of semi -ideals which is a kind of generalization of both -ideals and semiprime ideals. A proper ideal…
math.AC2022
On Weakly S-primary Submodules
Ece Yetkin Celikel, Hani A. Khashan
Let be a commutative ring with a non-zero identity, be a multiplicatively closed subset of and be a unital -module. In this paper, we define a submodule of $…
math.AC2022
S-1-absorbing primary submodules
Mohammed Issoual, Najib Mahdou, Neslihan Aysen Ozkirisci +1
In this work, we introduce the notion of -1-absorbing primary submodule as an extension of 1-absorbing primary submodule. Let be a multiplicatively closed subset of a ring $…