On finite generation and presentability of Schützenberger products

• Autores: Peter Gallagher, Nik Ruskuc
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 83, Nº 3, 2007, págs. 357-368
• Idioma: inglés
• DOI: 10.1017/s1446788700037976
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• Resumen

  • The finite generation and presentation of Schützenberger products of semigroups are investigated. A general necessary and sufficient condition is established for finite generation. The Schützenberger product of two groups is finitely presented as an inverse semigroup if and only if the groups are finitely presented, but is not finitely presented as a semigroup unless both groups are finite.