FREE FIELDS IN MALCEV-NEUMANN SERIES RINGS

Autor(es)

Ferreira, Vitor O. ^[1] ; Fornaroli, Erica Z. ^[2] ; Sanchez, Javier ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Math IME, BR-05314970 Sao Paulo - Brazil

^[2] Univ Estadual Maringa, Dept Math, Maringa, PR - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN ALGEBRA; v. 41, n. 3, p. 1149-1168, MAR 6 2013.
• Citações Web of Science: 1

Resumo

It is shown that the skew field of Malcev-Neumann series of an ordered group frequently contains a free field of countable rank, i.e. the universal field of fractions of a free associative algebra of countable rank. This is an application of a criterion on embeddability of free fields on skew fields which are complete with respect to a valuation function, following K. Chiba. Other applications to skew Laurent series rings are discussed. Finally, embeddability questions on free fields of uncountable rank in Malcev-Neumann series rings are also considered. (AU)

• Processo FAPESP: 09/50886-0 - Embedding group algebras and crossed products in division rings
• Beneficiário: Javier Sanchez Serda
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado