On P-2-Bezout Rings

  • Haitham El Alaoui
  • Hakima Mouanis
Keywords: P-2-Bezout rings, pullbacks, trivial rings extension

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.

Published
2019-09-25
How to Cite
El Alaoui, H., & Mouanis, H. (2019). On P-2-Bezout Rings. Gulf Journal of Mathematics, 7(3). Retrieved from https://gjom.org/index.php/gjom/article/view/1
Section
Articles