Half-automorphisms of transformation semigroups
Robert P. Sullivan (1985)
Czechoslovak Mathematical Journal
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Robert P. Sullivan (1985)
Czechoslovak Mathematical Journal
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Richard Byrd, Justin Lloyd, Franklin Pederson, James Stepp (1984)
Fundamenta Mathematicae
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Murray Eisenberg (1966)
Fundamenta Mathematicae
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Robert P. Sullivan (1983)
Czechoslovak Mathematical Journal
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G. Wood (1978)
Studia Mathematica
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Janusz Konieczny (2011)
Open Mathematics
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For an infinite set X, denote by Γ(X) the semigroup of all injective mappings from X to X under function composition. For α ∈ Γ(X), let C(α) = β ∈ g/g(X): αβ = βα be the centralizer of α in Γ(X). The aim of this paper is to determine those elements of Γ(X) whose centralizers have simple structure. We find α ∈ (X) such that various Green’s relations in C(α) coincide, characterize α ∈ Γ(X) such that the -classes of C(α) form a chain, and describe Green’s relations in C(α) for α with...
A. G. Fadell, K. D. Magill, Jr. (1969)
Compositio Mathematica
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