Two conjectures on an addition theorem
Xiangneng Zeng, Pingzhi Yuan (2011)
Acta Arithmetica
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Displaying similar documents to “Conditions on periodicity for sum-free sets.”
Two conjectures on an addition theorem
Some Recent Results on Squarefree Words
Jean Berstel (1985)
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The nucleus of the free alternative algebra.
Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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Square-free and overlap-free words
A. J. Kfoury (1988)
Banach Center Publications
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Fixed-point free maps of Euclidean spaces
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
On finite pattern-free sets of integers
Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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Generalized sum-free subsets.
Caro, Yair (1990)
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There are more than -letter ternary square-free words.
Ekhad, Shalosh B., Zeilberger, Doron (1998)
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Extremal infinite overlap-free binary words.
Allouche, Jean-Paul, Currie, James, Shallit, Jeffrey (1998)
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Structure of free algebras
Ivan Žembery (1989)
Czechoslovak Mathematical Journal
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The intersection of free submonoids of a free monoid is free.
B. Tilson (1972)
Semigroup forum
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The number of (2,3)-sum-free subsets of {1,...,n}
Tomasz Schoen (2001)
Acta Arithmetica
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