Polynomial growth and identities of superalgebras and star-algebras

Silvana Mauceri; Paola Misso; Daniela La Mattina

Polynomial growth and identities of superalgebras and star-algebras

Silvana Mauceri, Paola Misso, Daniela La Mattina

Matematica e Informatica

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

We study associative algebras with 1 endowed with an automorphism or antiautomor-phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1,we construct associative '-algebras whose '-codimension sequence is given asymptoti-cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi-ble.

Original language	English
Pages (from-to)	2087-2094
Number of pages	8
Journal	Journal of Pure and Applied Algebra
Volume	213
Publication status	Published - 2009

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

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title = "Polynomial growth and identities of superalgebras and star-algebras",

abstract = "We study associative algebras with 1 endowed with an automorphism or antiautomor-phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1,we construct associative '-algebras whose '-codimension sequence is given asymptoti-cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi-ble.",

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journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

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T1 - Polynomial growth and identities of superalgebras and star-algebras

AU - Mauceri, Silvana

AU - Misso, Paola

AU - La Mattina, Daniela

PY - 2009

Y1 - 2009

N2 - We study associative algebras with 1 endowed with an automorphism or antiautomor-phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1,we construct associative '-algebras whose '-codimension sequence is given asymptoti-cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi-ble.

AB - We study associative algebras with 1 endowed with an automorphism or antiautomor-phism ' of order 2, i.e., superalgebras and algebras with involution. For any fixed k >=1,we construct associative '-algebras whose '-codimension sequence is given asymptoti-cally by a polynomial of degree k whose leading coefficient is the largest or smallest possi-ble.

KW - $T^\varphi$-ideal

KW - $\varphi$-codimensions

KW - \varphi$-identity

KW - growth

KW - $T^\varphi$-ideal

KW - $\varphi$-codimensions

KW - \varphi$-identity

KW - growth

UR - http://hdl.handle.net/10447/40093

M3 - Article

SN - 0022-4049

VL - 213

SP - 2087

EP - 2094

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

ER -

Polynomial growth and identities of superalgebras and star-algebras

Abstract

All Science Journal Classification (ASJC) codes

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