Bounded countable atomic compactness of ordered groups
Friedrich Wehrung (1995)
Fundamenta Mathematicae
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Friedrich Wehrung (1995)
Fundamenta Mathematicae
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M. Stanley (1995)
Fundamenta Mathematicae
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Yuri Bilu, Guillaume Hanrot (1999)
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
Bart de Smit (1995)
Acta Arithmetica
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Mariusz Lemańczyk, F. Parreau, J. Thouvenot (2000)
Fundamenta Mathematicae
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We study ergodic properties of the class of Gaussian automorphisms whose ergodic self-joinings remain Gaussian. For such automorphisms we describe the structure of their factors and of their centralizer. We show that Gaussian automorphisms with simple spectrum belong to this class. We prove a new sufficient condition for non-disjointness of automorphisms giving rise to a better understanding of Furstenberg's problem relating disjointness to the lack of common factors....