A Survey on the Theory of n-Hypergroups-Reference-Cited by-同舟云学术

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A Survey on the Theory of n-Hypergroups

Published:2023-01-19 Issue:3 Volume:11 Page:551
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Davvaz Bijan¹^ORCID,Leoreanu-Fotea Violeta²,Vougiouklis Thomas³

Affiliation:

1. Department of Mathematical Sciences, Yazd University, Yazd 8975818411, Iran

2. Faculty of Mathematics, “Al.I. Cuza” University, Bd Carol I, no.11, 6600 Iaşi, Romania

3. School of Education, Democritus University of Thrace, 68100 Alexandroupolis, Greece

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/3/551/pdf

Reference21 articles.

1. Untersuchungen uber einen verallgemeinerten Gruppenbegriff;Math. Z.,1929

2. Polyadic groups;Post;Trans. Amer. Math. Soc.,1940

3. On retracts of polyadic groups;Dudek;Demonstr. Math.,1984

4. Around the Hosszu-Gluskin theorem for n-ary groups;Dudek;Discret. Math.,2008

5. Varieties of polyadic groups;Dudek;Filomat,1995

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