Word Hyperbolic Semigroups

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The study of word hyperbolic groups is a prominent topic in geometric group theory; however word hyperbolic groups are defined by a geometric condition which does not extend naturally to semigroups. We propose a linguistic definition. Roughly speaking a semigroup is word hyperbolic if its multiplication table is a context free language. For groups this definition is equivalent to the original geometric one. We also briefly consider word problems of semigroups.
12 pages

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Group Theory, 20M10 (Primary) 20M35, 20F65 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/63940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204353
 http://arxiv.org/abs/math/0204353

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arXiv