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Asymptotics for the multiplicities in the cocharacters of some PI-algebras
Author(s):
Francesca
Benanti;
Antonio
Giambruno;
Irina
Sviridova
Journal:
Proc. Amer. Math. Soc.
132
(2004),
669-679.
MSC (2000):
Primary 16R10, 16P90
Posted:
August 13, 2003
MathSciNet review:
2019941
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Abstract:
We consider associative PI-algebras over a field of characteristic zero. We study the asymptotic behavior of the sequence of multiplicities of the cocharacters for some significant classes of algebras. We also give a characterization of finitely generated algebras for which this behavior is linear or quadratic.
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Additional Information:
Francesca
Benanti
Affiliation:
Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi 34, 90123 Palermo, Italy
Email:
fbenanti@math.unipa.it
Antonio
Giambruno
Affiliation:
Dipartimento di Matematica ed Applicazioni, Università di Palermo, via Archirafi 34, 90123 Palermo, Italy
Email:
a.giambruno@unipa.it
Irina
Sviridova
Affiliation:
Department of Algebra and Geometric Computations, Faculty of Mathematics and Mechanics, Ulyanovsk State University, Ulyanovsk 4327000, Russia
Email:
sviridova_i@rambler.ru
DOI:
10.1090/S0002-9939-03-07093-X
PII:
S 0002-9939(03)07093-X
Keywords:
Polynomial identities,
multiplicities,
codimensions,
growth
Received by editor(s):
March 22, 2002
Received by editor(s) in revised form:
July 31, 2002 and October 30, 2002
Posted:
August 13, 2003
Additional Notes:
The first and the second authors were partially supported by MURST of Italy
The third author was partially supported by the scientific program ``The Universities of Russia"
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2003,
American Mathematical Society
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