Primitive elements in integral bases
Bart de Smit (1995)
Acta Arithmetica
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Bart de Smit (1995)
Acta Arithmetica
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Ryotaro Okazaki (2000)
Acta Arithmetica
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Peter Stevenhagen (1996)
Acta Arithmetica
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Yuri Bilu, Guillaume Hanrot (1999)
Acta Arithmetica
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M. Stanley (1995)
Fundamenta Mathematicae
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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.
Roman Kossak, Henryk Kotlarski (1996)
Fundamenta Mathematicae
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Continuing the earlier research in [10] we give some information on extending automorphisms of models of PA to end extensions and cofinal extensions.
Pierre Arnoux, Sébastien Ferenczi, Pascal Hubert (1999)
Acta Arithmetica
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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).