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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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