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Growth sequences of finite algebras

โœ Scribed by Herbert H. J. Riedel


Book ID
105129468
Publisher
Springer
Year
1985
Tongue
English
Weight
275 KB
Volume
20
Category
Article
ISSN
0002-5240

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On Codimension Growth of Finitely Genera
โœ A. Giambruno; M. Zaicev ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 245 KB

Let A be a PI-algebra over a field F. We study the asymptotic behavior of the sequence of codimensions c n (A) of A. We show that if A is finitely generated over F then Inv(A)=lim n ร„ n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi