A new view to ring theory via soft union rings, ideals and bi-ideals

Abstract

In this paper, by defining soft intersection-union product, we make a new approach to the classical ring theory via soft set theory, with the concept of soft union rings, ideals and bi-ideals. Moreover, we characterize regular, regular duo, intra-regular and strongly regular rings by soft union rings and ideals. (C) 2012 Elsevier B.V. All rights reserved.