Flat commutative ring epimorphisms of almost Krull dimension zero

In this paper, we consider flat epimorphisms of commutative rings [Formula: see text] such that, for every ideal which text], the quotient ring is semilocal Krull dimension zero. Under these assumptions, show that projective R-module U does not exceed 1. We also describe Geigle–Lenzing perpendicular subcategory in text]. Assuming additionally and all are perfect, R-modules U-strongly flat. Thus, obtain a generalization some results paper [ 6 ], where case localization R at multiplicative subset was considered.