✦ LIBER ✦

Generators of Central Simple Algebras

✍ Scribed by Zinovy Reichstein

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 188 KB
Volume: 207
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7492

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✦ Synopsis

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

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