On three approaches to conjugacy in semigroups |
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Authors: | Ganna Kudryavtseva Volodymyr Mazorchuk |
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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 |
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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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Keywords: | Semigroup Conjugation Action Representation |
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