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Left Regular and Left Weakly Regular n-ary Semigroups

Patchara Pornsurat|Bundit Pibaljommee
경북대학교 자연과학대학 수학과|2022.03|Kyungpook Mathematical Journal|제62권 제1호|pp. 29-41|DOI 10.5666/KMJ.2022.62.1.29

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키워드

left regularquasi-idealright regularn-ary semigroup
주제분류수학

초록

We study the concept of a quasi-ideal and a generalized bi-ideal of an n-arysemigroup; give a construction of the quasi-ideal of an n-ary semigroup generated by itsnonempty subset; and introduce the notions of regularities, namely, a left regularity and aleft weakly regularity. Moreover, the notions of a right regularity, a right weak regularityand a complete regularity are given. Finally, characterizations of these regularities arepresented.

Abstract

We study the concept of a quasi-ideal and a generalized bi-ideal of an n-arysemigroup; give a construction of the quasi-ideal of an n-ary semigroup generated by itsnonempty subset; and introduce the notions of regularities, namely, a left regularity and aleft weakly regularity. Moreover, the notions of a right regularity, a right weak regularityand a complete regularity are given. Finally, characterizations of these regularities arepresented.

참고문헌 (24)

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