On algebras of polynomial codimension growth

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Abstract

Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.
Lingua originaleEnglish
pagine (da-a)312-320
Numero di pagine9
RivistaSÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES
Volume10
Stato di pubblicazionePublished - 2016

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Algebra
Codimension
Polynomials
Polynomial
Associative Algebra
Zero

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Statistics, Probability and Uncertainty
  • Computational Theory and Mathematics

Cita questo

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title = "On algebras of polynomial codimension growth",
abstract = "Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.",
author = "{La Mattina}, Daniela",
year = "2016",
language = "English",
volume = "10",
pages = "312--320",
journal = "Sao Paulo Journal of Mathematical Sciences",
issn = "1982-6907",
publisher = "Springer International Publishing AG",

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T1 - On algebras of polynomial codimension growth

AU - La Mattina, Daniela

PY - 2016

Y1 - 2016

N2 - Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.

AB - Let A be an associative algebra over a field F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.

UR - http://hdl.handle.net/10447/208875

M3 - Article

VL - 10

SP - 312

EP - 320

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

SN - 1982-6907

ER -