Generalised Tits alternative for linear semigroups
type: Item
instance of: scholarly article
title: Generalised Tits alternative for linear semigroups
zbMATH Open document ID: 0846.20067
DOI: 10.1016/0022-4049(95)00104-5
author: A. Salwa
author: Jan Okniński
published in: Journal of Pure and Applied Algebra
publication date: 1996-09-29T00:00:00Z
review text: The authors prove the following interesting generalization of the Tits alternative: If \(S\) is a subsemigroup of a semigroup \(M(n,k)\) of the matrices of size \(n\) over a field \(K\) and \(K\) is finitely generated then \(S\) has no free non-commutative subsemigroup if and only if \(S\) satisfies a semigroup identity. Several other more technical equivalent conditions are also given.
Mathematics Subject Classification ID: 20M20
Mathematics Subject Classification ID: 20M05
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 825311
zbMATH Keywords: semigroup of matrices
zbMATH Keywords: generalization of the Tits alternative
zbMATH Keywords: semigroup identities
reviewed by: Leonid Makar-Limanov
MaRDI profile type: Publication
full work available at URL: 0022-4049(95)00104-5
OpenAlex ID: W1994767913
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description: scientific article; zbMATH DE number 825311