When is a functionally free algebra free?
T. Evans (1972)
Semigroup forum
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T. Evans (1972)
Semigroup forum
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J. Karhumäki (1984)
Semigroup forum
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H.J. SHYR (1975)
Semigroup forum
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Y. Kobayashi (1992)
Semigroup forum
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C.M. Reis (1978)
Semigroup forum
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A. J. Kfoury (1988)
Banach Center Publications
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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R. Z. Buzyakova, A. Chigogidze (2011)
Fundamenta Mathematicae
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Our main result states that every fixed-point free continuous self-map of ℝⁿ is colorable. This result can be reformulated as follows: A continuous map f: ℝⁿ → ℝⁿ is fixed-point free iff f̃: βℝⁿ → βℝⁿ is fixed-point free. We also obtain a generalization of this fact and present some examples
Chester, jr. John (1974)
Semigroup forum
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J. Shafer (1974)
Semigroup forum
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Mario Petrich (1990)
Colloquium Mathematicae
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Pedro V. Silva (2012)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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The fixed point submonoid of an endomorphism of a free product of a free monoid and cyclic groups is proved to be rational using automata-theoretic techniques. Maslakova’s result on the computability of the fixed point subgroup of a free group automorphism is generalized to endomorphisms of free products of a free monoid and a free group which are automorphisms of the maximal subgroup.
Pedro V. Silva (2012)
RAIRO - Theoretical Informatics and Applications
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The fixed point submonoid of an endomorphism of a free product of a free monoid and cyclic groups is proved to be rational using automata-theoretic techniques. Maslakova’s result on the computability of the fixed point subgroup of a free group automorphism is generalized to endomorphisms of free products of a free monoid and a free group which are automorphisms of the maximal subgroup.