A Survey on the Theory of n -Hypergroups

Bijan Davvaz (), Violeta Leoreanu-Fotea and Thomas Vougiouklis
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Bijan Davvaz: Department of Mathematical Sciences, Yazd University, Yazd 8975818411, Iran
Violeta Leoreanu-Fotea: Faculty of Mathematics, “Al.I. Cuza” University, Bd Carol I, no.11, 6600 Iaşi, Romania
Thomas Vougiouklis: School of Education, Democritus University of Thrace, 68100 Alexandroupolis, Greece

Mathematics, 2023, vol. 11, issue 3, 1-17

Abstract: This paper presents a series of important results from the theory of n -hypergroups. Connections with binary relations and with lattices are presented. Special attention is paid to the fundamental relation and to the commutative fundamental relation. In particular, join n -spaces are analyzed.

Keywords: n -hypergroup; fundamental relation; join n -space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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