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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 SURVEY ON FREE OBJECTS IN DIVISION RINGS AND IN DIVISION RINGS WITH AN INVOLUTION

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Author(s):
Goncalves, J. Z. [1] ; Shirvani, M. [2]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Dept Math, BR-05389970 Sao Paulo - Brazil
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB - Canada
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN ALGEBRA; v. 40, n. 5, p. 1704-1723, 2012.
Web of Science Citations: 14
Abstract

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. (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