Affiliations: Department of Mathematics, Faculty and Sciences, Çankırı Karatekin University, 18100 Çankırı, Turkey
Correspondence:
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Corresponding author. F. Karaaslan, Department of Mathematics, Faculty and Sciences, Çankırı Karatekin University, 18100 Çankırı, Turkey, E-mail: [email protected].
Abstract: The concepts of AG*-groupoid and AG-band are two subclasses of AG-groupoids. In this study, some properties of family of soft sets over AG-groupoid, AG*-groupoid and AG-band are investigated. It is proved that family of soft sets over AG-groupoid is an AG-groupoid and family of soft sets over AG*-groupoid is both nuclear square AG-groupoid and Bol*-AG-groupoid under SI-product operation. Also some new concepts such as soft idempotent element, soft intersection AG-band, left(right) connected soft set, soft intersection-ideal and soft prime ideal of soft intersection AG-groupoid are defined and some results related to these new concepts are obtained.
