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Finite-dimensionality and growth of algebras specified by polylinearly interrelated generators

✍ Scribed by I. K. Redchuk


Publisher
Springer
Year
2005
Tongue
English
Weight
230 KB
Volume
57
Category
Article
ISSN
0041-5995

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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