A non-dualisable entropic algebra.
type: Item
instance of: scholarly article
title: A non-dualisable entropic algebra.
zbMATH Open document ID: 1060.08005
author: Brian A. Davey
author: Jane G. Pitkethly
published in: Algebra Universalis
publication date: 2005-04-19T00:00:00Z
review text: An algebra \(\mathcal A = \langle A,F\rangle \) is called entropic if every operation \(f \in F\) is a homomorphism \(f\) : \(A^{n} \rightarrow A\), where \(n\) is the arity of \(f\). Some of the first known examples of dualisable algebras were entropic. The authors give an example of a five-element unary algebra which is entropic but does not admit a natural duality.
reviewed by: Radomír Halaš
Mathematics Subject Classification ID: 08A60
Mathematics Subject Classification ID: 08A40
Mathematics Subject Classification ID: 08C15
zbMATH DE Number: 2158764
zbMATH Keywords: natural duality
zbMATH Keywords: entropic algebra
zbMATH Keywords: unary algebra
zbMATH Keywords: ghost element
MaRDI profile type: Publication
full work available at URL: s00012-002-8173-4
OpenAlex ID: W1966898395
DOI: 10.1007/S00012-002-8173-4
description: scientific article; zbMATH DE number 2158764