On three approaches to conjugacy in semigroups

Mathematics – Group Theory

Scientific paper

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8 pages

Scientific paper

We compare three approaches to the notion of conjugacy for semigroups, the
first one via the transitive closure of the $uv\sim vu$ 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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