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Epigroups

  • Conference paper
Structural Theory of Automata, Semigroups, and Universal Algebra

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry ((NAII,volume 207))

Abstract

An epigroup is a semigroup in which some power of any element lies in a subgroup of the given semigroup. The class of epigroups includes a number of important classes of semigroups. Not only some particular types of epigroups but epigroups as such can serve as the subject matter of a substantial theory. In this survey the following topics concerning epigroups are considered: epigroups as unary semigroups, certain “nice” decompositions, finiteness conditions.

The work was partially supported by the President Program of a support of the Leading Scientific Schools of the Russian Federation (grant 2227.2003.01) and by the Ministry of Education of the Russian Federation (grants E02-1.0-143 and 04.01.059).

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  1. Department of Mathematics and Mechanics, Ural State University, Lenina 51, 620083, Ekaterinburg, Russia

    Lev N. Shevrin

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  1. Lev N. Shevrin
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Editors and Affiliations

  1. Department of Mathematical Theory of Intelligent Systems, Faculty of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Moscow, Russia

    Valery B. Kudryavtsev

  2. University of Montreal, Quebec, Canada

    Ivo G. Rosenberg

  3. Department of Mathematics and Statistics, University of Montreal, Quebec, Canada

    Martin Goldstein

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Dedicated to Walter Douglas Munn on the occasion of his 75th birthday

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© 2005 Springer

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Shevrin, L.N. (2005). Epigroups. In: Kudryavtsev, V.B., Rosenberg, I.G., Goldstein, M. (eds) Structural Theory of Automata, Semigroups, and Universal Algebra. NATO Science Series II: Mathematics, Physics and Chemistry, vol 207. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3817-8_12

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