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math.AC2024
Nil-prime ideals of a commutative ring
Faranak Farshadifar
Let R be a commutative ring with identity and N(R) be the set of all nilpotent elements of R. The aim of this paper is to introduce and study the notion of nil-prime ideals as a ge…
math.AC2024
Second ideal intersection graph of a commutative ring
F. Farshadifar
Let R be a commutative ring with identity. In this paper, we introduce and investigate the second ideal intersection graph SII(R) of R with vertices are non-zero proper ideals of R…