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Regular, inverse, and completely regular centralizers of permutations

Janusz Konieczny (2003)

Mathematica Bohemica

For an arbitrary permutation σ in the semigroup T n of full transformations on a set with n elements, the regular elements of the centralizer C ( σ ) of σ in T n are characterized and criteria are given for C ( σ ) to be a regular semigroup, an inverse semigroup, and a completely regular semigroup.

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