The nucleus of the free alternative algebra.
Hentzel, I.R., Peresi, L.A. (2006)
Experimental Mathematics
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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
Caro, Yair (1990)
International Journal of Mathematics and Mathematical Sciences
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De Koninck, Jean-Marie, Luca, Florian (2003)
International Journal of Mathematics and Mathematical Sciences
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Jean Berstel (1985)
Publications du Département de mathématiques (Lyon)
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A. Kumar, P. K. Pathak (1976)
Colloquium Mathematicae
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Karl Dilcher, Lutz G. Lucht (2006)
Acta Arithmetica
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B. Tilson (1972)
Semigroup forum
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Chung, Fan R.K., Goldwasser, John L. (1996)
The Electronic Journal of Combinatorics [electronic only]
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F. Levin, G. Rosenberger, B. Baumslag (1993)
Mathematische Zeitschrift
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Grzegorz Tomkowicz (2011)
Colloquium Mathematicae
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We prove the following conjecture of J. Mycielski: There exists a free nonabelian group of piecewise linear, orientation and area preserving transformations which acts on the punctured disk {(x,y) ∈ ℝ²: 0 < x² + y² < 1} without fixed points.
Frank Levin, Benjamin Baumslag (1976)
Mathematische Zeitschrift
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Calkin, Neil J., Finch, Steven R. (1996)
Experimental Mathematics
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Suk, Andrew (2008)
The Electronic Journal of Combinatorics [electronic only]
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Ekhad, Shalosh B., Zeilberger, Doron (1998)
Journal of Integer Sequences [electronic only]
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