Name: On the transitivity of the relation β in semihypergroups
Creator: Gutan, Marin
Keywords: hypergroups, semihypergroups, 0101 mathematics, 10. No inequality, Hypergroups, 01 natural sciences, transitivity of \(\beta\)

On the transitivity of the relation \(\beta\) in semihypergroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1996 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo, volume 45, pages 189-200 (issn: 0009-725X, eissn: 1973-4409,

Authors: Gutan, Marin;

doi: 10.1007/bf02844485

On the transitivity of the relation β in semihypergroups

- Summary
- Subjects
- Metrics

Abstract

A significant result in the hypergroup theory is the one given by D. Freni in 1991, that is that in a hypergroup \(\beta=\beta^*\). The aim of the paper under review is to characterize semihypergroups in which the relation \(\beta\) is transitive. The main theorem gives a necessary and sufficient condition such that \(\beta\) is transitive. As a corollary of this theorem the transitivity of \(\beta\) in hypergroups is proved again.

Keywords

hypergroups, semihypergroups, Hypergroups, transitivity of \(\beta\)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	15
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 1%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average