5 papers
The -extended ideal-based cozero-divisor graph of a commutative ring
Faranak Farshadifar
Let R be a commutative ring with identity and let J be an ideal of R. In this paper, we introduce and investigate the notion of the i-extended ideal-based cozero-divisor graph of R…
Some results on the ideal-based cozero-divisor graph of a commutative ring
F. Farshadifar
Let R be a commutative ring with identity and I be an ideal of R. The cozero-divisor graph with respect to I, denoted by , is the graph of R with vertices {x \in R -I :xR…
-submodules of a reduced multiplication module
F. Farshadifar
Let R be a commutative ring with identity and M be an R-module. A proper ideal I of R is said to be a -ideal if for each the intersection of all minimal prime id…
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…
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…