Pairings and related symmetry notions
type: Item
instance of: scholarly article
title: Pairings and related symmetry notions
zbMATH Open document ID: 1436.08001
author: G. Chiaselotti
author: F. Infusino
author: T. Gentile
published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche
publication date: 2018-10-26T00:00:00Z
review text: A pairing is a triple \(\mathfrak{P} = (U, F,\Lambda)\), where \(U\) and \(\Lambda\) are non-empty sets and \(F : U \times \Omega \to \Lambda\) is a map. The authors show several examples of pairings for graphs, metric spaces, group actions and vector spaces with a given bilinear form. They reinterpret the notion of indiscernibility with respect to a given attribute set of information table on terms of local symmetry on \(U\). Then, they study so-called global version of symmetry which they call indistinguishability. They describe the symmetry transmission between subsets of \(\Omega\) and apply this concept for digraphs families.
reviewed by: Ivan Chajda
Mathematics Subject Classification ID: 08A02
Mathematics Subject Classification ID: 08A05
Mathematics Subject Classification ID: 06A06
Mathematics Subject Classification ID: 06A05
Mathematics Subject Classification ID: 06A75
Mathematics Subject Classification ID: 05C65
Mathematics Subject Classification ID: 54A05
zbMATH DE Number: 6966669
zbMATH Keywords: symmetry
zbMATH Keywords: closure systems
zbMATH Keywords: lattices
zbMATH Keywords: graphs
zbMATH Keywords: groups
zbMATH Keywords: metric spaces
MaRDI profile type: Publication
full work available at URL: s11565-018-0297-3
OpenAlex ID: W2782959182
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Pairings and related symmetry notions (DOI)
DOI: 10.1007/S11565-018-0297-3