\(H_v\)-structures associated with generalized \(P\)-hyperoperations
type: Item
instance of: scholarly article
title: \(H_v\)-structures associated with generalized \(P\)-hyperoperations
zbMATH Open document ID: 0935.20066
published in: Bulletin of the Iranian Mathematical Society
publication date: 2000-05-07T00:00:00Z
review text: Given a groupoid \((G,\cdot)\) and any subsets of \(G\), one can define the so-called \(P\)-hyperoperations. If two subsets of \(G\) are used, then the authors define three types of \(2P\)-hyperoperations and if three subsets of \(G\) are used, then one type of \(3P\)-hyperoperation is defined. Some results on the obtained hyperstructures are proved. Moreover, the number of the \(H_v\)-rings with the above type of hyperoperations is evaluated.
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 16Y99
zbMATH DE Number: 1346189
zbMATH Keywords: hyperoperations
zbMATH Keywords: groupoids
zbMATH Keywords: \(H_v\)-rings
author: A. Iranmanesh
author: M. N. Iradmusa
reviewed by: Thomas Vougiouklis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1346189