On P-2-Bezout Rings

Abstract

In this paper, we introduce a generalization of the well -known notion of a P-Bezout rings and a 2-Bezout rings, which we call a P-2-Bezout rings. We establish the transfer of this notion to trivial ring extensions and to pullbacks. There results provide example of non 2-Bezout ring which is P-2-Bezout ring and example of non P-Bezout ring which is P-2-Bezout ring. Our aim is to provide new classe of commutative rings.