On further properties of minimal size in hypergroups of type U on the right. Issue 10 (2nd October 2020)

• Record Type: Journal Article
• Authors: Heidari, Dariush; Freni, Domenico
• Is Part Of: Communications in algebra. Volume 48:Issue 10(2020)
• Page Start: 4132
• Page End: 4141
• Publication Date: 2020-10-02
• Subjects: Hypergroup -- type U semihypergroup; 20N20; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2020.1755976
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: In this paper, we prove that the minimum size of a hypergroup of type U on the right which contains a proper subsemihypergroup of type U on the right of size 6 and a subgroup of size ≥ 2 is 18. We study some properties of hypergroups of type U on the right of size 2 p that have a cyclic subgroup of size p . Moreover, we give a more general answer to a problem left open in [11 ].