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The sequence of codimensions of PI-algebras

✍ Scribed by S. A. Amitsur


Book ID
112885346
Publisher
The Hebrew University Magnes Press
Year
1984
Tongue
English
Weight
712 KB
Volume
47
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES


Exponential Codimension Growth of PI Alg
✍ A Giambruno; M Zaicev πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 235 KB

Let A be an associative PI-algebra over a field F of characteristic zero. By studying the exponential behavior of the sequence of codimensions [c n (A)] of A, we prove that Inv(A)=lim n Γ„ n c n (A) always exists and is an integer. We also give an explicit way for computing such integer: let B be a f

The codimensions of aPi-algebra
✍ A. A. Klein; A. Regev πŸ“‚ Article πŸ“… 1972 πŸ› The Hebrew University Magnes Press 🌐 English βš– 212 KB
Exponential Growth for Codimensions of S
✍ Allan Berele; Amitai Regev πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 208 KB

By the Giambruno-Zaicev theorem for associative p.i. algebras, the exponential rate of growth of the codimensions of such a p.i. algebra is always a positive integer. Here we calculate that integer for various generic p.i. algebras which are given by a single identity. These include Capelli-type id