Bezout-like properties in amalgamated algebra

Abstract

In this paper, we investigate the transfer of the properties of P-Bezout rings and 2-Bezout rings to the amalgamation of A and B along J with respect to f (denoted by A ⋈^f J). Our aim is to provide necessary and sufficient conditions for A ⋈^f J, to be a P-Bezout rings and 2-Bezout rings.