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November 2021 Cubic Quasi-ideal of Semigroups
Thiti Gaketem
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Missouri J. Math. Sci. 33(2): 235-248 (November 2021). DOI: 10.35834/2021/3302235

Abstract

In this paper, we introduce the concept of cubic quasi-ideal semigroups and we study the basic properties of cubic quasi-ideals. Also, we find necessary and sufficient conditions for a cubic bi-ideal to be a cubic quasi-ideal of a semigroup. We present characterizations of regular and intra-regular semigroups in terms of cubic quasi-ideals.

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Thiti Gaketem. "Cubic Quasi-ideal of Semigroups." Missouri J. Math. Sci. 33 (2) 235 - 248, November 2021. https://doi.org/10.35834/2021/3302235

Information

Published: November 2021
First available in Project Euclid: 30 November 2021

Digital Object Identifier: 10.35834/2021/3302235

Subjects:
Primary: 16Y60
Secondary: 03E72 , 03G25 , 08A72

Keywords: cubic ideal , cubic quasi-ideal , cubic set , intra-regular , regular

Rights: Copyright © 2021 University of Central Missouri, School of Computer Science and Mathematics

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Vol.33 • No. 2 • November 2021
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