A soft set theoretic approach to an AG-groupoid via ideal theory with applications

Authors

Higher Institute of Engineering and Technology, King Mariout, Alexandria, Egyp

https://doi.org/10.1186/s42787-019-0060-7

Abstract

In this paper, we study the structural properties of a non-associative algebraic structure
called an AG-groupoid by using soft set theory. We characterize a right regular class of
an AG-groupoid in terms of soft intersection ideals and provide counter examples to
discuss the converse part of various problems. We also characterize a weakly regular
class of an AG***-groupoid by using generated ideals and soft intersection ideals. We
investigate the relationship between SI-left-ideal, SI-right-ideal, SI-two-sided-ideal, and
SI-interior-ideal of an AG-groupoid over a universe set by providing some practical
examples.

Keywords