Please use this identifier to cite or link to this item: http://cmuir.cmu.ac.th/jspui/handle/6653943832/71553
Title: On minimal and maximal hyperideals in n-ary semihypergroups
Authors: Jukkrit Daengsaen
Sorasak Leeratanavalee
Bijan Davvaz
Authors: Jukkrit Daengsaen
Sorasak Leeratanavalee
Bijan Davvaz
Keywords: Mathematics
Issue Date: 1-Oct-2020
Abstract: © 2020 by the authors. The concept of j-hyperideals, for all positive integers 1 ≤ j ≤ n and n ≥ 2, in n-ary semihypergroups, is a generalization of the concept of left, lateral and right hyperideals in ternary semihypergroups. In this paper, we first introduce the concept of j-(0-)simple n-ary semihypergroups and discuss their related properties through terms of j-hyperideals. Furthermore, we characterize the minimality and maximality of j-hyperideals in n-ary semihypergroups and establish the relationships between the (0-)minimal, maximal j-hyperideals and the j-(0-)simple n-ary semihypergroups. Our main results are to extend and generalize the results on semihypergroups and ternary semihypergroups. Moreover, a related question raised by Petchkaew and Chinram is solved.
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85092535854&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/71553
ISSN: 22277390
Appears in Collections:CMUL: Journal Articles

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