Regularities in Ordered n -Ary Semihypergroups

Jukkrit Daengsaen and Sorasak Leeratanavalee
Additional contact information
Jukkrit Daengsaen: Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand
Sorasak Leeratanavalee: Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Mathematics, 2021, vol. 9, issue 16, 1-21

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.

Keywords: ordered semihypergroup; n -ary semihypergroup; regular element (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/16/1857/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/16/1857/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:16:p:1857-:d:609154

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().