On stability and products
J. Wierzejewski (1976)
Fundamenta Mathematicae
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J. Wierzejewski (1976)
Fundamenta Mathematicae
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A. Lachlan (1974)
Fundamenta Mathematicae
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A. Lachlan (1980)
Fundamenta Mathematicae
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John T. Baldwin, Kitty Holland (2001)
Fundamenta Mathematicae
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This is a sequel to [1]. Here we give careful attention to the difficulties of calculating Morley and U-rank of the infinite rank ω-stable theories constructed by variants of Hrushovski's methods. Sample result: For every k < ω, there is an ω-stable expansion of any algebraically closed field which has Morley rank ω × k. We include a corrected proof of the lemma in [1] establishing that the generic model is ω-saturated in the rank 2 case.
Gerald Sacks (1979)
Fundamenta Mathematicae
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J. Wierzejewski (1977)
Fundamenta Mathematicae
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Robert J. Archbold, Eberhard Kaniuth (2006)
Studia Mathematica
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Let (G,X) be a transformation group, where X is a locally compact Hausdorff space and G is a compact group. We investigate the stable rank and the real rank of the transformation group C*-algebra C₀(X)⋊ G. Explicit formulae are given in the case where X and G are second countable and X is locally of finite G-orbit type. As a consequence, we calculate the ranks of the group C*-algebra C*(ℝⁿ ⋊ G), where G is a connected closed subgroup of SO(n) acting on ℝⁿ by rotation.
Raymond Mortini (1992)
Studia Mathematica
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We present an example of a subalgebra with infinite stable rank in the algebra of all bounded analytic functions in the unit disk.
John Baldwin (1975)
Fundamenta Mathematicae
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Akito Tsuboi (1990)
Fundamenta Mathematicae
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Wojciech Guzicki (1976)
Fundamenta Mathematicae
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B. Schweizer, A. Sklar (1962)
Colloquium Mathematicae
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