✦ LIBER ✦

Generators of Linear Algebras

✍ Scribed by Patterson, E. M.

Book ID: 120102867
Publisher: Oxford University Press
Year: 1957
Tongue: English
Weight: 323 KB
Volume: s3-7
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s3-7.1.467

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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.