A SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
01/11/2013
01/11/2013
02/08/2013
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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 |
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 |