On Hv-groups with strong inverses elements

Document Type : Research Paper

Authors

1 Semnan University

2 Democritus University of Thrace, School of Education, 681 00 Alexandroupolis, Greece

Abstract

The largest class of hyperstructures is the class of Hv-structures. In this class, equality is replaced by non-empty intersection. This class is extremely large and can, therefore, be used to define various objects that can not be defined within classical hypergroup theory. In the present paper, we deal with strong-inverse elements, which are defined in both hypergroups and Hv-groups, particularly, in cases where there is more than one unit element. We introduce several constructions obtained by the properties of strong-inverse elements in Hv-groups.

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Main Subjects


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