GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS

Agata Smoktunowicz

doi:10.1017/S0017089508004667

GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS

Agata Smoktunowicz

School of Mathematics

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

Abstract

We prove some results on algebras, satisfying many generic relations. As an application we show that there are Golod-Shafarevich algebras which cannot be homomorphically mapped onto infinite dimensional algebras with finite Gelfand-Kirillov dimension. This answers a question of Zelmanov (Some open problems in the theory of infinite dimensional algebras, J Korean Math. Soc. 44(5) 2007, 1185-1195).

Original language	English
Pages (from-to)	253-256
Number of pages	4
Journal	Glasgow Mathematical Journal
Volume	51
Issue number	02
DOIs	https://doi.org/10.1017/S0017089508004667
Publication status	Published - May 2009

Access to Document

10.1017/S0017089508004667

GK-dimension of algebras with many generic relationsFinal published version, 62.3 KB

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5501248

Cite this

@article{cd82d5b6a3ea49f392fcae6f304d4d53,

title = "GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS",

abstract = "We prove some results on algebras, satisfying many generic relations. As an application we show that there are Golod-Shafarevich algebras which cannot be homomorphically mapped onto infinite dimensional algebras with finite Gelfand-Kirillov dimension. This answers a question of Zelmanov (Some open problems in the theory of infinite dimensional algebras, J Korean Math. Soc. 44(5) 2007, 1185-1195).",

author = "Agata Smoktunowicz",

year = "2009",

month = may,

doi = "10.1017/S0017089508004667",

language = "English",

volume = "51",

pages = "253--256",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

number = "02",

}

TY - JOUR

T1 - GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS

AU - Smoktunowicz, Agata

PY - 2009/5

Y1 - 2009/5

N2 - We prove some results on algebras, satisfying many generic relations. As an application we show that there are Golod-Shafarevich algebras which cannot be homomorphically mapped onto infinite dimensional algebras with finite Gelfand-Kirillov dimension. This answers a question of Zelmanov (Some open problems in the theory of infinite dimensional algebras, J Korean Math. Soc. 44(5) 2007, 1185-1195).

AB - We prove some results on algebras, satisfying many generic relations. As an application we show that there are Golod-Shafarevich algebras which cannot be homomorphically mapped onto infinite dimensional algebras with finite Gelfand-Kirillov dimension. This answers a question of Zelmanov (Some open problems in the theory of infinite dimensional algebras, J Korean Math. Soc. 44(5) 2007, 1185-1195).

UR - http://www.scopus.com/inward/record.url?scp=70350453575&partnerID=8YFLogxK

U2 - 10.1017/S0017089508004667

DO - 10.1017/S0017089508004667

M3 - Article

SN - 0017-0895

VL - 51

SP - 253

EP - 256

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 02

ER -

GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS

Abstract

Access to Document

Other files and links

Fingerprint

Nil algebras, algebraic algebras and algebras with finite Gelfand-Kirillov dimension

Cite this

GK-DIMENSION OF ALGEBRAS WITH MANY GENERIC RELATIONS

Abstract

Access to Document

Other files and links

Fingerprint

Projects

Nil algebras, algebraic algebras and algebras with finite Gelfand-Kirillov dimension

Cite this