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

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

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