Two extensions of right G-semilocal and right N-semilocal rings

Abstract

The paper studies the transfer of the property of being right G-semilocal and right N-semilocal from a ring [Formula: see text] to its extensions and vice versa. We will focus on two extensions, namely finite normalizing extension [Formula: see text] of [Formula: see text] and the ring of polynomials [Formula: see text].