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Some group's analogous results in multigroup setting

P. A. Ejegwa|A. M. Ibrahim
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2019.06|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제17권 제3호|pp. 231-245|DOI 10.30948/afmi.2019.17.3.231

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키워드

MultisetComultisetMultigroupSubmultigroup

초록

In furtherance of the exploration of the theory of multigroups drawn from multisets, this paper seeks to present some results in multigroup context which were hitherto established in group theory, by redefining some concepts in the light of multigroups. Also, the notion of commutator in multigroup setting is proposed, and it is proved that, if $A$ and $B$ are normal submultigroups of a multigroup $C$, then $[A, B]\subseteq A\cap B$

Abstract

In furtherance of the exploration of the theory of multigroups drawn from multisets, this paper seeks to present some results in multigroup context which were hitherto established in group theory, by redefining some concepts in the light of multigroups. Also, the notion of commutator in multigroup setting is proposed, and it is proved that, if $A$ and $B$ are normal submultigroups of a multigroup $C$, then $[A, B]\subseteq A\cap B$

참고문헌 (22)

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