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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.)

FREE GROUP ALGEBRAS IN DIVISION RINGS

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Author(s):
Goncalves, J. Z. [1] ; Tengan, E. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, IME, Dept Math, BR-05508090 Sao Paulo - Brazil
[2] Univ Sao Paulo, ICMC, Dept Math, BR-13566590 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 22, n. 5 AUG 2012.
Web of Science Citations: 4
Abstract

Let k be an algebraically closed field of characteristic zero and let L be an algebraic function field over k. Let sigma : L -> L be a k-automorphism of infinite order, and let D be the skew field of fractions of the skew polynomial ring L{[}t; sigma]. We show that D contains the group algebra kF of the free group F of rank 2. (AU)

FAPESP's process: 09/52665-0 - Groups, rings and algebras: interactions and applications
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Projects - Thematic Grants