Konieczny, Janusz Regular, inverse, and completely regular centralizers of permutations. (English) Zbl 1027.20046 Math. Bohem. 128, No. 2, 179-186 (2003). Summary: For an arbitrary permutation \(\sigma\) in the semigroup \(T_n\) of full transformations on a set with \(n\) elements, the regular elements of the centralizer \(C(\sigma)\) of \(\sigma\) in \(T_n\) are characterized and criteria are given for \(C(\sigma)\) to be a regular semigroup, an inverse semigroup, and a completely regular semigroup. Cited in 1 Document MSC: 20M20 Semigroups of transformations, relations, partitions, etc. Keywords:semigroups of full transformations; permutations; regular centralizers; inverse centralizers; completely regular semigroups × Cite Format Result Cite Review PDF Full Text: DOI EuDML