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IVI-octahedron subgroups and level subgroups

이정곤|한상현|허걸|Kim Sabina
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제23권 제3호|pp. 243-271|DOI 10.30948/afmi.2022.23.3.243

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키워드

IVI-octahedron setIVI-octahedron numberIVI-octahedron subgroupIVI-octahedron normal subgroupIVI-octahedron quotient subgroupLevel subgroup

초록

In this paper, we introduce the concept of IVI-octahedron subgroups and investigate some of its properties. In particular, we give the characterization for an IVIOG of a cyclic group. Next, we define a level subgroup of an IVIOG and obtain some of its properties. Furthermore, we give the characterization for an IVIOG of a finite cyclic group by using its chain of subgroups.

Abstract

In this paper, we introduce the concept of IVI-octahedron subgroups and investigate some of its properties. In particular, we give the characterization for an IVIOG of a cyclic group. Next, we define a level subgroup of an IVIOG and obtain some of its properties. Furthermore, we give the characterization for an IVIOG of a finite cyclic group by using its chain of subgroups.

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