M. Badie

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math.AC2019

On $H_{Y}$ -Ideals

Mehdi Badie

In this article, we continue the studying of $H_{Y}$ -ideals. We introducing two notions fixed and free $H_{Y}$ -ideals as an extension of fixed and free z-ideals in…

math.AC2019

A little more on the zero-divisor graph and the annihilating-ideal graph of a reduced ring

Mehdi Badie

We have tried to translate some graph properties of AG(R) and Gamma(R) to the topological properties of Zariski topology. We prove that Rad(Gamma(R)) and Rad(AG(R)) are equal and t…

math.AC2018

An extension of z-ideals and z^0-ideals

A. R. Aliabad, M. Badie, S. Nazari

Let $R$ be a commutative ring, $Y \subseteq Spec (R)$ and $h_{Y} (S) = {P \in Y : S \subseteq P}$ , for every $S \subseteq R$ . An ideal $I$ is said to be an $H_{Y}$ -ideal w…

On HY​-Ideals

A little more on the zero-divisor graph and the annihilating-ideal graph of a reduced ring

An extension of z-ideals and z^0-ideals

On $H_{Y}$ -Ideals