| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Dept Math IME, BR-05314970 Sao Paulo - Brazil
[2] Univ Estadual Maringa, Dept Math, Maringa, PR - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | COMMUNICATIONS IN ALGEBRA; v. 41, n. 3, p. 1149-1168, MAR 6 2013. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 09/50886-0 - Embedding group algebras and crossed products in division rings |
| Grantee: | JAVIER SANCHEZ SERDA |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |