Strong arithmetic properties of the integral solutions of X³ + DY³ + D²Z³ - 3DXYZ = 1, where D = M³ ± 1, M ∈ ℤ*
Christian Ballot (1999)
Acta Arithmetica
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Christian Ballot (1999)
Acta Arithmetica
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Jan Brinkhuis (1995)
Acta Arithmetica
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Pierre Arnoux, Sébastien Ferenczi, Pascal Hubert (1999)
Acta Arithmetica
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Harald Niederreiter, Chaoping Xing (1997)
Acta Arithmetica
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Rüdiger Göbel, Simone Pabst (1998)
Fundamenta Mathematicae
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The paper deals with realizations of R-algebras A as endomorphism algebras End G ≅ A of suitable R-modules G over a commutative ring R. We are mainly interested in the case of R having "many prime ideals", such as R = ℝ[x], the ring of real polynomials, or R a non-discrete valuation domain
Saharon Shelah, Otmar Spinas (1998)
Fundamenta Mathematicae
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Generalizing [ShSp], for every n < ω we construct a ZFC-model where ℌ(n), the distributivity number of r.o., is greater than ℌ(n+1). This answers an old problem of Balcar, Pelant and Simon (see [BaPeSi]). We also show that both Laver and Miller forcings collapse the continuum to ℌ(n) for every n < ω, hence by the first result, consistently they collapse it below ℌ(n).
Jozef Bobok, Ondřej Zindulka (1999)
Fundamenta Mathematicae
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Let X be an uncountable compact metrizable space of topological dimension zero. Given any a ∈[0,∞] there is a homeomorphism on X whose topological entropy is a.
Robert S. Coulter (1998)
Acta Arithmetica
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