A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION


Autoria(s): Goncalves, J. Z.; Shirvani, M.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

01/11/2013

01/11/2013

02/08/2013

Resumo

Let D be a division ring with center k, and let D-dagger be its multiplicative group. We investigate the existence of free groups in D-dagger, and free algebras and free group algebras in D. We also go through the case when D has an involution * and consider the existence of free symmetric and unitary pairs in D-dagger.

CNPq [300.128/2008-8]

CNPq

Fapesp-Brazil [2009/52665-0]

FAPESP (Brazil)

Identificador

COMMUNICATIONS IN ALGEBRA, PHILADELPHIA, v. 40, n. 5, supl. 1, Part 3, pp. 1704-1723, AUG 7, 2012

0092-7872

http://www.producao.usp.br/handle/BDPI/37667

10.1080/00927872.2011.554934

http://dx.doi.org/10.1080/00927872.2011.554934

Idioma(s)

eng

Publicador

TAYLOR & FRANCIS INC

PHILADELPHIA

Relação

COMMUNICATIONS IN ALGEBRA

Direitos

restrictedAccess

Copyright TAYLOR & FRANCIS INC

Palavras-Chave #DIVISION RINGS #FREE ALGEBRAS #FREE GROUPS #FREE SYMMETRIC AND UNITARY PAIRS #INVOLUTIONS #FREE GROUP-ALGEBRAS #MULTIPLICATIVE GROUP #ENVELOPING-ALGEBRAS #FREE SUBALGEBRAS #FREE SUBGROUPS #LINEAR-GROUPS #SKEW FIELDS #POLYNOMIAL-RINGS #UNITARY PAIRS #FREE-PRODUCTS #MATHEMATICS
Tipo

article

original article

publishedVersion