The free spectrum of the variety of bands.
type: Item
instance of: scholarly article
title: The free spectrum of the variety of bands.
zbMATH Open document ID: 1145.20028
author: Gabriella Pluhár
author: Csaba Szabó
published in: Semigroup Forum
publication date: 2008-06-04T00:00:00Z
review text: The number of essentially \(n\)-ary term operations in the variety of bands is asymptotically \(\tfrac 1{n^2}K^{2^{n+1}}(1+O(\tfrac 1n))\) , where \(K=\sqrt{2\sqrt{3\sqrt{4\cdots}}}\sim 1.66\).
reviewed by: Jaak Henno
Mathematics Subject Classification ID: 20M07
Mathematics Subject Classification ID: 08B20
Mathematics Subject Classification ID: 08A40
zbMATH DE Number: 5284767
zbMATH Keywords: varieties of bands
zbMATH Keywords: free spectra of varieties
zbMATH Keywords: numbers of term operations
MaRDI profile type: Publication
full work available at URL: s00233-007-9021-9
OpenAlex ID: W2089772921
cites work: Log-linear varieties of semigroups
cites work: Finite semigroups with few term operations
cites work: The Berman conjecture is true for finite surjective semigroups and their inflations
cites work: Q5809194
cites work: ON THE FREE SPECTRUM OF THE VARIETY GENERATED BY THE COMBINATORIAL COMPLETELY 0-SIMPLE SEMIGROUPS
cites work: SOME INDECOMPOSABLE VARIETIES OF GROUPS
cites work: Q3607853
DOI: 10.1007/S00233-007-9021-9
description: scientific article; zbMATH DE number 5284767