Reza Nikandish

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math.AC2026

Ideal Structures in Idealizations and Cardinalities of Annihilating Ideals

Reza Nikandish

We describe the ideals of an idealization $D ⋉ M$ by triples $(I, N, φ)$ , where $I$ is an ideal of $D$ , $N$ is a submodule of $M$ with $I M \subseteq N$ , and $φ\in\operatorname{Ho…

math.AC2016

Some Properties of the Nil-Graphs of Ideals of Commutative Rings

R. Nikandish, F. Shaveisi

Let $R$ be a commutative ring with identity and $Nil (R)$ be the set of nilpotent elements of $R$ . The nil-graph of ideals of $R$ is defined as the graph $AG_{N} (R)$ wh…