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Regularities in Ordered n -Ary Semihypergroups

Author

Listed:
  • Jukkrit Daengsaen

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    These authors contributed equally to this work.)

  • Sorasak Leeratanavalee

    (Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
    These authors contributed equally to this work.)

Abstract

This paper deals with a class of hyperstructures called ordered n -ary semihypergroups which are studied by means of j -hyperideals for all positive integers 1 ≤ j ≤ n and n ≥ 3 . We first introduce the notion of (softly) left regularity, (softly) right regularity, (softly) intra-regularity, complete regularity, generalized regularity of ordered n -ary semihypergroups and investigate their related properties. Several characterizations of them in terms of j -hyperideals are provided. Finally, the relationships between various classes of regularities in ordered n -ary semihypergroups are also established.

Suggested Citation

  • Jukkrit Daengsaen & Sorasak Leeratanavalee, 2021. "Regularities in Ordered n -Ary Semihypergroups," Mathematics, MDPI, vol. 9(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1857-:d:609154
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    References listed on IDEAS

    as
    1. Jukkrit Daengsaen & Sorasak Leeratanavalee & Bijan Davvaz, 2020. "On Minimal and Maximal Hyperidealsin n -ary Semihypergroups," Mathematics, MDPI, vol. 8(10), pages 1-17, September.
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