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Article

Regularities in Ordered n-Ary Semihypergroups

1
Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
2
Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Diana Savin
Mathematics 2021, 9(16), 1857; https://doi.org/10.3390/math9161857
Received: 30 May 2021 / Revised: 29 July 2021 / Accepted: 31 July 2021 / Published: 5 August 2021
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 1jn and n3. 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. View Full-Text
Keywords: ordered semihypergroup; n-ary semihypergroup; regular element ordered semihypergroup; n-ary semihypergroup; regular element
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MDPI and ACS Style

Daengsaen, J.; Leeratanavalee, S. Regularities in Ordered n-Ary Semihypergroups. Mathematics 2021, 9, 1857. https://doi.org/10.3390/math9161857

AMA Style

Daengsaen J, Leeratanavalee S. Regularities in Ordered n-Ary Semihypergroups. Mathematics. 2021; 9(16):1857. https://doi.org/10.3390/math9161857

Chicago/Turabian Style

Daengsaen, Jukkrit, and Sorasak Leeratanavalee. 2021. "Regularities in Ordered n-Ary Semihypergroups" Mathematics 9, no. 16: 1857. https://doi.org/10.3390/math9161857

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