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On three approaches to conjugacy in semigroups
Authors:Ganna Kudryavtseva  Volodymyr Mazorchuk
Affiliation:(1) Department of Mechanics and Mathematics, Kyiv Taras Shevchenko University, 64, Volodymyrska st., 01033 Kiev, Ukraine;(2) Department of Mathematics, Uppsala University, SE 471 06 Uppsala, Sweden
Abstract:We compare three approaches to the notion of conjugacy for semigroups, the first one via the transitive closure of the uvvu 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.
Keywords:Semigroup  Conjugation  Action  Representation
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