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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A NOTE ON FREE GROUPS IN THE RING OF FRACTIONS OF SKEW POLYNOMIAL RINGS

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Author(s):
Goncalves, J. Z. [1] ; Tengan, E. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Math, Inst Matemat & Estat, BR-13560970 Sao Paulo - Brazil
[2] Univ Sao Paulo, Dept Math, Inst Ciencias Matemat & Computacao, BR-13560970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 37, n. 7, p. 2477-2484, 2009.
Web of Science Citations: 2
Abstract

Let L be a function field over the rationals and let D denote the skew field of fractions of L{[}t; sigma], the skew polynomial ring in t, over L, with automorphism sigma. We prove that the multiplicative group D(x) of D contains a free noncyclic subgroup. (AU)