A survey on varieties generated by small semigroups and a companion website
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This paper presents new findings on varieties generated by small semigroups and groups, and offers a survey of existing results. A companion website is provided which hosts a computational system integrating automated reasoning tools, finite model builders, SAT solvers, and GAP. This platform is a living guide to the literature. In addition, the first complete and justified list of identity bases for all varieties generated by a semigroup of order up to 4 is provided as supplementary material. The paper concludes with an extensive list of open problems and conjectures.
Araújo , J , Araújo , J P , Cameron , P J , Lee , E W H & Raminhos , J 2023 , ' A survey on varieties generated by small semigroups and a companion website ' , Journal of Algebra , vol. 635 , pp. 698-735 . https://doi.org/10.1016/j.jalgebra.2023.06.030
Journal of Algebra
Copyright © 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
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