Rings in which every principal ideal is finitely presented

Abstract

In this paper we introduce and investigate a class of those rings in which every principal ideal is finitely presented. We establish the transfer of this notion to the trivial ring extension, direct product and homomorphic image, and then generate new and original families of rings satisfying this property.

Some results about weakly S-primary ideals of a commutative ring

“…This concept has been introduced and studied by D'Anna and Fontana in [6]. Any unexplained terminology is standard as in [4], [9], [11] and [13] .…”