New bases for band varieties
type: Item
instance of: scholarly article
title: New bases for band varieties
zbMATH Open document ID: 0946.20032
author: Mario Petrich
published in: Semigroup Forum
publication date: 2000-08-01T00:00:00Z
review text: New bases of band varieties are constructed which are based on three families \(\{P_n\}\), \(\{Q_n\}\), \(\{R_n\}\) of words which are inductively defined by \(P_2=x_2\), \(Q_2=x_2x_1\), \(R_2=x_2x_1x_2\) and \(T_n=R_{n-1}x_n\overline T_{n-1}\) for \(T\in\{P,Q,R\}\) (and \(\overline T\) is the mirror image word of \(T\)). This refines the construction of bases of band varieties given earlier by \textit{J. A. Gerhard} and \textit{M. Petrich} [Proc. Lond. Math. Soc., III. Ser. 58, No. 2, 323-350 (1989; Zbl 0676.20038)].
Mathematics Subject Classification ID: 20M07
zbMATH DE Number: 1330658
zbMATH Keywords: varieties of bands
zbMATH Keywords: identity bases
reviewed by: K. Auinger
MaRDI profile type: Publication
full work available at URL: s002339900027
OpenAlex ID: W2032585331
DOI: 10.1007/S002339900027
description: scientific article; zbMATH DE number 1330658