Monomial conjecture and complete intersections.
Jan R. Strooker, Jurgen Stückrad (1993)
Manuscripta mathematica
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Jan R. Strooker, Jurgen Stückrad (1993)
Manuscripta mathematica
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Snellman, Jan (2005)
Experimental Mathematics
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David H. Collingwood, Luis G. Casian (1987)
Mathematische Zeitschrift
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David C. Marshall (2004)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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G. Besson (2009)
Bollettino dell'Unione Matematica Italiana
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W. Narkiewicz (1977)
Colloquium Mathematicae
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Paule, Peter (1996)
Experimental Mathematics
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K. Inkeri (1976)
Acta Arithmetica
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P. D. T. A. Elliott (1976)
Colloquium Mathematicae
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Fuzhen Zhang (2016)
Special Matrices
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We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We...
K. Kubota (1977)
Acta Arithmetica
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José L. García (2014)
Colloquium Mathematicae
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A weak form of the pure semisimplicity conjecture is introduced and characterized through properties of matrices over division rings. The step from this weak conjecture to the full pure semisimplicity conjecture would be covered by proving that there do not exist counterexamples to the conjecture in a particular class of rings, which is also studied.
Sebastian Hebda (2013)
Colloquium Mathematicae
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We propose two conjectures which imply the Collatz conjecture. We give a numerical evidence for the second conjecture.
C. Greither, Radan Kučera (2008)
Acta Arithmetica
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András Biró (2003)
Acta Arithmetica
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Torossian, Charles (2002)
Journal of Lie Theory
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R. Dacić (1971)
Matematički Vesnik
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G. Grekos, L. Haddad, C. Helou, J. Pihko (2005)
Acta Arithmetica
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