Prime i -Ideals in Ordered n -ary Semigroups

Patchara Pornsurat, Pakorn Palakawong na Ayutthaya and Bundit Pibaljommee
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Patchara Pornsurat: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Pakorn Palakawong na Ayutthaya: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
Bundit Pibaljommee: Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Mathematics, 2021, vol. 9, issue 5, 1-11

Abstract: We study the concept of i -ideal of an ordered n -ary semigroup and give a construction of the i -ideal of an ordered n -ary semigroup generated by its nonempty subset. Moreover, we study the notions of prime, weakly prime, semiprime and weakly semiprime ideals of an ordered n -ary semigroup.

Keywords: n-ary semigroup; ordered n-ary semigroup; prime ideal; weakly prime ideal; semiprime ideal (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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