Entropicity and generalized entropic property in idempotent \(n\)-semigroups.
type: Item
instance of: scholarly article
title: Entropicity and generalized entropic property in idempotent \(n\)-semigroups.
zbMATH Open document ID: 1336.20063
author: Erkko Lehtonen
author: Agata Pilitowska
published in: Semigroup Forum
publication date: 2015-12-09T00:00:00Z
review text: It is proved that in the class of \(n\)-ary semigroups entropicity and the generalized entropic property are equivalent only for \(n\)-ary semigroups with some additional properties. A new characterization of entropicity in the variety of semigroups satisfying the identity \(x^n\approx x\) for some \(n\geq 2\) is presented and free ternary Mal'tsev semigroups on two generators are described.
reviewed by: Wiesław A. Dudek
Mathematics Subject Classification ID: 20N15
zbMATH DE Number: 6518152
zbMATH Keywords: entropicity
zbMATH Keywords: generalized entropic property
zbMATH Keywords: \(n\)-semigroups
zbMATH Keywords: idempotency
zbMATH Keywords: ternary Mal'tsev semigroups
MaRDI profile type: Publication
full work available at URL: s00233-015-9717-1
OpenAlex ID: W2014017667
Wikidata QID: Q59408555
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DOI: 10.1007/S00233-015-9717-1
description: scientific article; zbMATH DE number 6518152