A. R. Aliabad

collaborators

3 papers

math.GN2025

An extension of $F$ -spaces and its applications

A. R. Aliabad, A. Taherifar

A completely regular Hausdorff space $X$ is called a $W C F$ -space if every pair of disjoint cozero-sets in $X$ can be separated by two disjoint $Z^{\circ}$ -sets. The class of $W C F$ -…

math.RA2025

On ideals of product of commutative rings and their applications

Mehdi Badie, Ali Rezaie Aliabad, Foad Obeidavi

In this paper, leveraging the recent achievements of researchers, we have revisited the family of ideals of product of commutative rings. We demonstrate that if $ \{ R_α\}_{α\in A}…

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…

An extension of F-spaces and its applications

On ideals of product of commutative rings and their applications

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

An extension of $F$ -spaces and its applications