On algebras of polynomial codimension growth

Daniela La Mattina

On algebras of polynomial codimension growth

Daniela La Mattina

Matematica e Informatica

Risultato della ricerca: Article › peer review

1 Citazioni (Scopus)

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 originale	English
pagine (da-a)	312-320
Numero di pagine	9
Rivista	SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES
Volume	10
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

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

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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.",

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T1 - On algebras of polynomial codimension growth

AU - La Mattina, Daniela

PY - 2016

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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 -