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Affine PI-algebras not embeddable in matrix rings

โœ Scribed by Ronald S Irving

Book ID
107774628
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
374 KB
Volume
82
Category
Article
ISSN
0021-8693

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We show that division algebras do not always embed in crossed product division algebras, so the latter do not serve as ''Galois closures'' for division algebras. We construct decomposable noncrossed product division algebras of prime-power index over rational function fields and Laurent series field