3 papers
math.AC2023
absorbing prime hyperideals in multiplicative hyperrings
Ismael Akray, Ali A. Mina
In this paper, we define the concept prime hyperideal in a multiplicative hyperring . A proper hyperideal of is an prime hyperideal if for with $ab…
math.AC2022
n-absorbing I-primary ideals in commutative rings
Sarbast A. Anjuman, Ismael Akray
We define a new generalization of n-absorbing ideals in commutative rings called n-absorbing I-primary ideals. We investigate some characterizations and properties of such new gene…
math.AC2017
-prime ideals
Ismael Akray
In this paper, we introduce a new generalization of weakly prime ideals called -prime. Suppose is a commutative ring with identity and a fixed ideal of . A proper ide…