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On three approaches to conjugacy in semigroups

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Abstract

We compare three approaches to the notion of conjugacy for semigroups, the first one via the transitive closure of the uv∼vu relation, the second one via an action of inverse semigroups on themselves by partial transformations, and the third one via characters of finite-dimensional representations.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033, Kiev, Ukraine

    Ganna Kudryavtseva

  2. Department of Mathematics, Uppsala University, SE 471 06, Uppsala, Sweden

    Volodymyr Mazorchuk

Authors
  1. Ganna Kudryavtseva
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  2. Volodymyr Mazorchuk
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Correspondence to Volodymyr Mazorchuk.

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Communicated by László Márki.

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Kudryavtseva, G., Mazorchuk, V. On three approaches to conjugacy in semigroups. Semigroup Forum 78, 14–20 (2009). https://doi.org/10.1007/s00233-008-9047-7

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  • DOI: https://doi.org/10.1007/s00233-008-9047-7

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