PROPERTIES OF HYPERPRODUCTS AND THE RELATION β IN QUASIHYPERGROUPS

Some properties of the complete parts in hyper-groupoids are established. Applying these properties to the case of quasihypergroups H for which H/β*. is a quasigroup, a necessary and sufficient condition for the transitivity of the relation β is proved. Consequently, several classes of quasihypergro...

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Bibliographic Details
Main Author: Marin Gutan
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 1997-02-01
Series:Ratio Mathematica
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/116