Soft Union Interior Ideals, Quasi-Ideals and Generalized Bi-Ideals of Rings

Abstract

In this paper, we dene soft union interior ideals, quasi-ideals and generalized bi-ideals of
rings, obtain their properties and give the interrelations of them. Moreover, we characterize regular,
regular duo, intra-regular and strongly regular rings in terms of these soft union ideals. This paper is a
following study of A. Sezgin Sezer, Soft union rings, ideals and bi-ideals; a new approach to ring theory
I, Knowledge-Based Systems, 36 (2012) 300-314.