Finite index and finite codimension
β Scribed by Shmuel Rosset
- Book ID
- 103237200
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 727 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0022-4049
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π SIMILAR VOLUMES
Let F be a field of characteristic zero and let A be a finite dimensional algebra with involution ) over F. We study the asymptotic behavior of the sequence of n Ε½ . Ε½ . )-codimensions c A, ) of A and we show that Exp A, ) s lim c A, ) ' Ε½ . n n Βͺ Ο± n Ε½ . exists and is an integer. We give an expli
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 Γ n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi