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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Haim Judah, Andrzej Rosłanowski, Saharon Shelah (1994)
Fundamenta Mathematicae
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We give several examples of Souslin forcing notions. For instance, we show that there exists a proper analytical forcing notion without ccc and with no perfect set of incompatible elements, we give an example of a Souslin ccc partial order without the Knaster property, and an example of a totally nonhomogeneous Souslin forcing notion.
Harald Niederreiter, Chaoping Xing (1997)
Acta Arithmetica
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Robert S. Coulter (1998)
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
Grzegorz Graff (2000)
Fundamenta Mathematicae
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The problem of description of the set Per(f) of all minimal periods of a self-map f:X → X is studied. If X is a rational exterior space (e.g. a compact Lie group) then there exists a description of the set of minimal periods analogous to that for a torus map given by Jiang and Llibre. Our approach is based on the Haibao formula for the Lefschetz number of a self-map of a rational exterior space.
Pierre Arnoux, Sébastien Ferenczi, Pascal Hubert (1999)
Acta Arithmetica
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