caa a22 4500 44534525X CHVBK 20180317142826.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00233-011-9350-6 doi (NATIONALLICENCE)springer-10.1007/s00233-011-9350-6 Kambites Mark School of Mathematics, University of Manchester, M13 9PL, Manchester, England aut A note on the definition of small overlap monoids [Elektronische Daten] [Mark Kambites] Small overlap conditions are simple and natural combinatorial conditions on semigroup and monoid presentations, which serve to limit the complexity of derivation sequences between equivalent words in the generators. They were introduced by J.H.Remmers, and more recently have been extensively studied by the present author. However, the definition of small overlap conditions hitherto used by the author was slightly more restrictive than that introduced by Remmers; this note eliminates this discrepancy by extending the recent methods and results of the author to apply to Remmers' small overlap monoids in full generality. Springer Science+Business Media, LLC, 2011 Monoid nationallicence Semigroup nationallicence Word problem nationallicence Finite presentation nationallicence Small overlap nationallicence Small cancellation nationallicence Semigroup Forum Springer-Verlag 83/3(2011-12-01), 499-512 0037-1912 83:3<499 2011 83 233 https://doi.org/10.1007/s00233-011-9350-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00233-011-9350-6 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kambites Mark School of Mathematics, University of Manchester, M13 9PL, Manchester, England aut NATIONALLICENCE 773 0- Semigroup Forum Springer-Verlag 83/3(2011-12-01), 499-512 0037-1912 83:3<499 2011 83 233 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer