A NOVEL APPROACH TO AG-GROUPOIDS VIA SOFT INTERSECTION PRODUCT OPERATION
A NOVEL APPROACH TO AG-GROUPOIDS VIA SI- PRODUCT OPERATION
Abstract
In this study, some general properties of soft sets of a symmetry
preserving structure AG-groupoid are investigated. Various weaknesses
of the published papers [38,21], are
rectified, generalized and simplified. It is investigated that the
family of soft sets over AG-groupoid is again an AG-groupoid when
equipped with the soft intersection operation. Moreover, it is proven
that the family of soft sets over an AG-groupoid possesses the properties
of being medial, paramedial, Bol{*}, and nuclear square under the
SI-product operation. The application of the soft sets theory, specifically
the SI-product, is extended to AG-groupoids. Additionally, this study
successfully accomplishes various other properties resulting from
the application of the SI-product to AG-groupoids, and several examples
are presented utilizing modern techniques such as Mace4 and Prover9.
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