CHARACTERIZING HYPERGROUPOIDS THROUGH M-RELATIONS AND M-CONSISTENCIES
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.