On Rees localiti es and $H_i$-local rings
On Rees localiti es and $H_i$-local rings
The main theorem gives a necessary and sufficient condition for each Rees locality $\mathscr{L}=R[tb, u]_{(M,tb,u)}$ of a local ring $(R, M) $ with respect to a principal ideal $bR$ in $R$ to be either an $H_{i}$-ring (that is, for all prime ideals $p$ in $\mathscr{L}$ such that height $p=i$, depth …