Wyniki wyszukiwania

1

Remarks on normal bases

100%

Mazur M.

Colloquium Mathematicum

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2001

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tom 87

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nr 1

79-84

EN

We prove that any Galois extension of a commutative ring with a normal basis and abelian Galois group of odd order has a self-dual normal basis. We apply this result to get a very simple proof of nonexistence of normal bases for certain extensions which are of interest in number theory.

2

A generalization of a theorem of Minkowski

100%

Mazur M.

Acta Arithmetica

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2001

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tom 99

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nr 3

267-276

3

On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces

100%

Mazur M.

Annales Polonici Mathematici

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2013

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tom 109

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nr 1

29-38

EN

We give necessary and sufficient conditions for topological hyperbolicity of a homeomorphism of a metric space, restricted to a given compact invariant set. These conditions are related to the existence of an appropriate finite covering of this set and a corresponding cone-hyperbolic graph-directed iterated function system.

4

Galois module structure of units in real biquadratic number fields

63%

Mazur M., Ullom S.

Acta Arithmetica

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2004

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tom 111

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nr 2

105-124

Ograniczanie wyników

2 Acta Arithmetica

1 Annales Polonici Mathematici

1 Colloquium Mathematicum

4 Mazur M.

1 Ullom S.

1 2013

1 2004

2 2001

Remarks on normal bases

A generalization of a theorem of Minkowski

On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces

Galois module structure of units in real biquadratic number fields