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http://dx.doi.org/10.5666/KMJ.2022.62.1.29

Left Regular and Left Weakly Regular n-ary Semigroups  

Pornsurat, Patchara (Department of Mathematics, Faculty of Science, Khon Kaen University)
Pibaljommee, Bundit (Department of Mathematics, Faculty of Science, Khon Kaen University)
Publication Information
Kyungpook Mathematical Journal / v.62, no.1, 2022 , pp. 29-41 More about this Journal
Abstract
We study the concept of a quasi-ideal and a generalized bi-ideal of an n-ary semigroup; give a construction of the quasi-ideal of an n-ary semigroup generated by its nonempty subset; and introduce the notions of regularities, namely, a left regularity and a left weakly regularity. Moreover, the notions of a right regularity, a right weak regularity and a complete regularity are given. Finally, characterizations of these regularities are presented.
Keywords
n-ary semigroup; left regular; right regular; quasi-ideal;
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