CHARACTERIZING HYPERGROUPOIDS THROUGH M-RELATIONS AND M-CONSISTENCIES

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Atıf İçin Kopyala

Kausar N.

JOURNAL OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE, cilt.13, sa.1, ss.55-71, 2023 (Hakemli Dergi)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: 1
• Basım Tarihi: 2023
• Doi Numarası: 10.7251/jimvi2301055m
• Dergi Adı: JOURNAL OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE
• Sayfa Sayıları: ss.55-71
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.