CHARACTERIZING HYPERGROUPOIDS THROUGH M-RELATIONS AND M-CONSISTENCIES

---

Copy For Citation

Kausar N.

JOURNAL OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE, vol.13, no.1, pp.55-71, 2023 (Peer-Reviewed Journal)

• Publication Type: Article / Article
• Volume: 13 Issue: 1
• Publication Date: 2023
• Doi Number: 10.7251/jimvi2301055m
• Journal Name: JOURNAL OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE
• Page Numbers: pp.55-71
• Yıldız Technical University Affiliated: Yes

Abstract

In this article, we define the m-right consistent/m-left consistent and m-consistent hypergroupoids. We also define the m-intra-consistent hy-pergroupoid. Along these line, we define the Green's m-relations namely m-right relation, m-left relations, and m-relation. The other three relations, namely m-reflexive, m-symmetric and m-transitive, are also defined. The idea of m-equivalence relation is also given. We present different characterization of hypergroupoids in the article through these concepts.