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Central simple algebras

โœ Scribed by Louis Halle Rowen

Book ID
112886162
Publisher
The Hebrew University Magnes Press
Year
1978
Tongue
English
Weight
748 KB
Volume
29
Category
Article
ISSN
0021-2172

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๐Ÿ“œ SIMILAR VOLUMES

Central simple Mal'tsev algebras
Central simple Mal'tsev algebras
โœ V. T. Filippov ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer US ๐ŸŒ English โš– 237 KB
Generating graded central simple algebra
Generating graded central simple algebras
โœ Lieven Le Bruyn ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 856 KB

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.

Generators of Central Simple Algebras
Generators of Central Simple Algebras
โœ Zinovy Reichstein ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 188 KB

Let A be a finite-dimensional central simple algebra and let k be a subfield of ลฝ . 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.