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Zbl 1157.20332
Cain, Alan J.; Oliver, Graham; Ruškuc, Nik; Thomas, Richard M.
Automatic presentations for cancellative semigroups.
(English)
[A] Mart{\'\i}n-Vide, Carlos (ed.) et al., Language and automata theory and applications. Second international conference, LATA 2008, Tarragona, Spain, March 13--19, 2008. Revised papers. Berlin: Springer. Lecture Notes in Computer Science 5196, 149-159 (2008). ISBN 978-3-540-88281-7/pbk

Summary: This paper studies FA-presentable structures and gives a complete classification of the finitely generated FA-presentable cancellative semigroups. We show that a finitely generated cancellative semigroup is FA-presentable if and only if it is a subsemigroup of a virtually Abelian group.
MSC 2000:
*20M05 Free semigroups
20M35 Semigroups in automata theory, linguistics, etc.
68Q45 Formal languages

Keywords: finitely generated cancellative semigroups; finitely presented semigroups; automatic presentations

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