naa a22 4500 510736912 CHVBK 20180411083013.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s13366-012-0116-4 doi (NATIONALLICENCE)springer-10.1007/s13366-012-0116-4 Cain Alan Centro de Matemática, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut Hyperbolicity of monoids presented by confluent monadic rewriting systems [Elektronische Daten] [Alan Cain] The geometry of the Cayley graphs of monoids defined by regular confluent monadic rewriting systems is studied. Using geometric and combinatorial arguments, these Cayley graphs are proved to be hyperbolic, and the monoids to be word-hyperbolic in the Duncan-Gilman sense. The hyperbolic boundary of the Cayley graph is described in the case of finite confluent monadic rewriting systems. The Managing Editors, 2012 Hyperbolic monoid nationallicence Hyperbolic boundary nationallicence Gromov topology nationallicence Word-hyperbolicity nationallicence Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 593-608 0138-4821 54:2<593 2013 54 13366 https://doi.org/10.1007/s13366-012-0116-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s13366-012-0116-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cain Alan Centro de Matemática, Universidade do Porto, Rua do Campo Alegre 687, 4169-007, Porto, Portugal aut NATIONALLICENCE 773 0- Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry Springer Berlin Heidelberg 54/2(2013-10-01), 593-608 0138-4821 54:2<593 2013 54 13366 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer