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Simple Modules and Primitive Algebras with Arbitrary Gelfand-Kirillov Dimension

โœ Scribed by Irving, R. S.; Warfield, R. B.


Book ID
120095748
Publisher
Oxford University Press
Year
1987
Tongue
English
Weight
228 KB
Volume
s2-36
Category
Article
ISSN
0024-6107

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Primitive Algebras with Arbitrary Gelfan
โœ Uzi Vishne ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 379 KB

We construct, for every real /3 > 2, a primitive affine algebra with Gelfand Kirillov dimension /3. Unlike earlier constructions, there are no assumptions on the base field. In particular, this is the first construction over N or C. Given a recursive sequence {v,} of elements in a free monoid, we in