The nucleus of the free alternative algebra.
Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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Displaying similar documents to “Square-free and overlap-free words”
The nucleus of the free alternative algebra.
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
Some Recent Results on Squarefree Words
Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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Generalized sum-free subsets.
Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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There are more than -letter ternary square-free words.
Ekhad, Shalosh B., Zeilberger, Doron (1998)
Journal of Integer Sequences [electronic only]
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On finite pattern-free sets of integers
Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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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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Some recent dimension free characterizations of the normal law
A. Kumar, P. K. Pathak (1976)
Colloquium Mathematicae
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Conditions on periodicity for sum-free sets.
Calkin, Neil J., Finch, Steven R. (1996)
Experimental Mathematics
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A cyclically pinched product of free groups which is not residually free.
F. Levin, G. Rosenberger, B. Baumslag (1993)
Mathematische Zeitschrift
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Understanding singularitiesin free boundary problems
Xavier Ros-Oton, Joaquim Serra (2019)
Matematica, Cultura e Società. Rivista dell'Unione Matematica Italiana
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Free boundary problems are those described by PDEs that exhibit a priori unknown (free) interfacesor boundaries. The most classical example is the melting of ice to water (the Stefan problem). In this case, the freeboundary is the liquid-solid interface between ice and water. A central mathematical challenge in this context is to understand the regularity and singularities of free boundaries. In this paper we provide a gentle introduction to this topic by presenting some classical results...
Supersolvable orders and inductively free arrangements
Ruimei Gao, Xiupeng Cui, Zhe Li (2017)
Open Mathematics
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In this paper, we define the supersolvable order of hyperplanes in a supersolvable arrangement, and obtain a class of inductively free arrangements according to this order. Our main results improve the conclusion that every supersolvable arrangement is inductively free. In addition, we assert that the inductively free arrangement with the required induction table is supersolvable.