CHARACTERIZATIONS OF ABEL GRASSMANN'S GROUPOIDS BY THE PROPERTIES OF THEIR DOUBLE-FRAMED SOFT IDEALS

Abstract

In this paper, we introduce the concept of double-framed soft ideals and investigate properties of these ideals in regular, intra-regular, right regular and left regular AG-groupoids. We also characterize intra-regular AG-groupoids in terms of the double-framed soft ideals.