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학술저널

SOME REMARKS ON Hv-GROUPS

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Vogiouklis introduced Hν-hyperstructures and gave the “open problem: for Hv-groups, we have ß* = ß . We have an affirmative result about thîs open problem for some special cases. We study ß relations on Hv-quasigroups. When a set H has at least three elements and (H, . ) is an Hv-quasigroup with a weak scalar e, if there are elements x, y E H such that xν =H \ {e},then we have (xν )(xν ) =H.

1. Introduction

2. Some results on Hν-groups

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