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Essential dimension of central simple algebras

✍ Scribed by Sanghoon Baek, Alexander S. Merkurjev


Book ID
118814788
Publisher
Springer Netherlands
Year
2012
Tongue
English
Weight
431 KB
Volume
209
Category
Article
ISSN
0001-5962

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πŸ“œ SIMILAR VOLUMES


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Generators of Central Simple Algebras
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Let A be a finite-dimensional central simple algebra and let k be a subfield of Ε½ . its center Z A . We say that z , . . . , z generate A as a central simple algebra we give a necessary and sufficient condition for A to be generated by m elements as a central simple algebra over k.

Central simple Mal'tsev algebras
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We solve the generator problem for Z-graded central simple algebras. Applications are given to automorphisms of traee rings of generic matrices and to periodic fat-point modules.