Soft ideals via regular AG-groupoids

Rohi Naz; Imtiaz Ahmad; Muhammad Yousaf; Muhammad Rashad; Wajahat Ali khan

doi:10.62019/cg6qa952

Authors

Rohi Naz Department of Mathematics, University of Malakand, Pakistan.
Imtiaz Ahmad Department of Mathematics, University of Malakand, Pakistan.
Muhammad Yousaf Department of Mathematics, University of Malakand, Pakistan.
Muhammad Rashad Department of Mathematics, University of Malakand, Pakistan.
Wajahat Ali khan Department of Mathematics, University of Malakand, Pakistan.

DOI:

https://doi.org/10.62019/cg6qa952

Keywords:

AG-groupoid, LA-semigroups, paramedial, abelian distributive groupoid, inner and outer repeated.

Abstract

an AG-groupoid. A groupoid is said to be AG-groupoid if holds for all An AG-groupoid is called regular if there exist an element such that . Soft ideals via regular AG-groupoids have been discussed in this paper. Relationship between bi-ideals and soft bi-ideals, regular LA-demigroups, soft quasi ideals and soft two sided ideals have been discussed and characterized. The properties of bi-ideals, interior ideals, generalized bi-ideals, soft interior ideals, Quasi ideals are studies for a regular soft AG-groupoid.