✦ LIBER ✦

Growth sequences of finite algebras

✍ 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
DOI: 10.1007/bf01236808

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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 Ä n c n (A) always exists and is an integer. We also obtain the following characterization of simple algebras: A is fi