FREE GROUP ALGEBRAS IN DIVISION RINGS


Autoria(s): Goncalves, J. Z.; Tengan, Eduardo
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

29/10/2013

29/10/2013

2012

Resumo

Let k be an algebraically closed field of characteristic zero and let L be an algebraic function field over k. Let sigma : L -> L be a k-automorphism of infinite order, and let D be the skew field of fractions of the skew polynomial ring L[t; sigma]. We show that D contains the group algebra kF of the free group F of rank 2.

CNPq [300.128/2008-8]

FAPESP-Brazil, Projeto Tematico [2009/52665-0]

FAPESP Grant [2008/57214-4]

Identificador

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, SINGAPORE, v. 22, n. 5, pp. 1250044-01 - 1250044-9, AUG, 2012

0218-1967

http://www.producao.usp.br/handle/BDPI/36309

10.1142/S0218196712500440

http://dx.doi.org/10.1142/S0218196712500440

Idioma(s)

eng

Publicador

WORLD SCIENTIFIC PUBL CO PTE LTD

SINGAPORE

Relação

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION

Direitos

restrictedAccess

Copyright WORLD SCIENTIFIC PUBL CO PTE LTD

Palavras-Chave #FREE OBJECTS #SKEW FIELDS #FREE SUBALGEBRAS #FIELDS #FRACTIONS #MATHEMATICS
Tipo

article

original article

publishedVersion