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IVI-octahedron ideals and bi-ideals in semigroups

백종일|G. Muhiuddin|허걸|한상현
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제3호|pp. 311-337|DOI 10.30948/afmi.2022.23.3.311

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참고문헌

키워드

Level setIVI-octahedron idealIVI-octahedron bi-idealIVI-octahedron duo semigroupRegular semigroupLeft [resp. right] regular semigroup

초록

In this paper, we introduce the notions of IVI-octahedron ideals and bi-ideals, and obtain some of their properties. Also, we define an IVI-octahedron duo semigroup and give a characterization of a duo semigroup by it, and study some of its properties. Furthermore, we discuss some characterizations of a regular semigroup and a left [resp. right] regular semigroup by IVI-octahedron ideals and bi-ideals.

Abstract

In this paper, we introduce the notions of IVI-octahedron ideals and bi-ideals, and obtain some of their properties. Also, we define an IVI-octahedron duo semigroup and give a characterization of a duo semigroup by it, and study some of its properties. Furthermore, we discuss some characterizations of a regular semigroup and a left [resp. right] regular semigroup by IVI-octahedron ideals and bi-ideals.

참고문헌 (38)

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