CANCELLATIVE AND MALCEV PRESENTATIONS FOR FINITE REES INDEX SUBSEMIGROUPS AND EXTENSIONS

DOI10.1017/S1446788708000086zbMath1156.20048OpenAlexW2026770890MaRDI QIDQ3509971

Alan J. Cain, Edmund F. Robertson, Nikola Ruškuc

Publication date: 25 June 2008

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788708000086

zbMATH Keywords

rewriting systemsfinitely presented semigroupsMalcev presentationsgroup-embeddable semigroupscancellative presentationssubsemigroups of finite index

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05)

Related Items (4)

Prefix monoids of groups and right units of special inverse monoids ⋮ Green index in semigroups: generators, presentations, and automatic structures. ⋮ IDEALS AND FINITENESS CONDITIONS FOR SUBSEMIGROUPS ⋮ Automaton semigroups

Cites Work

• Every finitely generated submonoid of a free monoid has a finite Malcev's presentation
• Presentations et presentations simplifiables d'un monoide simplifiable
• Reidemeister-Schreier type rewriting for semigroups
• Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
• Subsemigroups of virtually free groups: finite Malcev presentations and testing for freeness
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