Varieties of Superalgebras of Polynomial Growth

La Mattina, Daniela

Serdica Mathematical Journal (2012)

  • Volume: 38, Issue: 1-3, page 237-258
  • ISSN: 1310-6600

Abstract

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2010 Mathematics Subject Classification: 16R10, 16W55, 16P90.Let V^gr be a variety of associative superalgebras over a field F of characteristic zero. It is well-known that V gr can have polynomial or exponential growth. Here we present some classification results on varieties of polynomial growth. In particular we classify the varieties of at most linear growth and all subvarieties of the varieties of almost polynomial growth.∗ The author was partially supported by MIUR of Italy.

How to cite

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La Mattina, Daniela. "Varieties of Superalgebras of Polynomial Growth." Serdica Mathematical Journal 38.1-3 (2012): 237-258. <http://eudml.org/doc/288266>.

@article{LaMattina2012,
abstract = {2010 Mathematics Subject Classification: 16R10, 16W55, 16P90.Let V^gr be a variety of associative superalgebras over a field F of characteristic zero. It is well-known that V gr can have polynomial or exponential growth. Here we present some classification results on varieties of polynomial growth. In particular we classify the varieties of at most linear growth and all subvarieties of the varieties of almost polynomial growth.∗ The author was partially supported by MIUR of Italy.},
author = {La Mattina, Daniela},
journal = {Serdica Mathematical Journal},
keywords = {Polynomial Identity; Growth; Superalgebra},
language = {eng},
number = {1-3},
pages = {237-258},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Varieties of Superalgebras of Polynomial Growth},
url = {http://eudml.org/doc/288266},
volume = {38},
year = {2012},
}

TY - JOUR
AU - La Mattina, Daniela
TI - Varieties of Superalgebras of Polynomial Growth
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 237
EP - 258
AB - 2010 Mathematics Subject Classification: 16R10, 16W55, 16P90.Let V^gr be a variety of associative superalgebras over a field F of characteristic zero. It is well-known that V gr can have polynomial or exponential growth. Here we present some classification results on varieties of polynomial growth. In particular we classify the varieties of at most linear growth and all subvarieties of the varieties of almost polynomial growth.∗ The author was partially supported by MIUR of Italy.
LA - eng
KW - Polynomial Identity; Growth; Superalgebra
UR - http://eudml.org/doc/288266
ER -

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