JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

Agata Smoktunowicz; Alexander A. Young

doi:10.1017/S0017089513000554

JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

Agata Smoktunowicz^*, Alexander A. Young

^*Corresponding author for this work

School of Mathematics

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

Abstract

We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.

Original language	English
Pages (from-to)	135-147
Number of pages	13
Journal	Glasgow Mathematical Journal
Volume	55A
DOIs	https://doi.org/10.1017/S0017089513000554
Publication status	Published - Oct 2013
Event	Conference on New Developments in Noncommutative Algebra and its Applications in honour of Kenny Brown's and Toby Stafford's 60th Birthdays - , United Kingdom Duration: 1 Jun 2011 → …

Keywords / Materials (for Non-textual outputs)

GELFAND-KIRILLOV DIMENSION
NIL ALGEBRAS

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10.1017/S0017089513000554

jacobsept2submittedversionSubmitted manuscript, 284 KB

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title = "JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH",

abstract = "We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.",

keywords = "GELFAND-KIRILLOV DIMENSION, NIL ALGEBRAS",

author = "Agata Smoktunowicz and Young, \{Alexander A.\}",

year = "2013",

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doi = "10.1017/S0017089513000554",

language = "English",

volume = "55A",

pages = "135--147",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

note = "Conference on New Developments in Noncommutative Algebra and its Applications in honour of Kenny Brown's and Toby Stafford's 60th Birthdays ; Conference date: 01-06-2011",

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TY - JOUR

T1 - JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

AU - Smoktunowicz, Agata

AU - Young, Alexander A.

PY - 2013/10

Y1 - 2013/10

N2 - We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.

AB - We show that over every countable algebraically closed field K there exists a finitely generated K-algebra that is Jacobson radical, infinite-dimensional, generated by two elements, graded and has quadratic growth. We also propose a way of constructing examples of algebras with quadratic growth that satisfy special types of relations.

KW - GELFAND-KIRILLOV DIMENSION

KW - NIL ALGEBRAS

U2 - 10.1017/S0017089513000554

DO - 10.1017/S0017089513000554

M3 - Article

SN - 0017-0895

VL - 55A

SP - 135

EP - 147

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

T2 - Conference on New Developments in Noncommutative Algebra and its Applications in honour of Kenny Brown's and Toby Stafford's 60th Birthdays

Y2 - 1 June 2011

ER -

JACOBSON RADICAL ALGEBRAS WITH QUADRATIC GROWTH

Abstract

Keywords / Materials (for Non-textual outputs)

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