Small maximal sum-free sets.
Giudici, Michael, Hart, Sarah (2009)
The Electronic Journal of Combinatorics [electronic only]
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Giudici, Michael, Hart, Sarah (2009)
The Electronic Journal of Combinatorics [electronic only]
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Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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A. J. Kfoury (1988)
Banach Center Publications
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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
E. Cohen, Richard Robinson (1963)
Acta Arithmetica
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L. Moser, H. Abbott (1966)
Acta Arithmetica
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Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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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.
Andrzej Mostowski (1961)
Fundamenta Mathematicae
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