Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Left Regular and Left Weakly Regular n-ary Semigroups

  • Received : 2021.07.13
  • Accepted : 2021.11.15
  • Published : 2022.03.31
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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

Acknowledgement

The first author is supported by Science Achievement Scholarship of Thailand (SAST) and the second author has received funding support from the National Science, Research and Innovation Fund (NSRF).

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