Advanced search
Publication Cover
Communications in Algebra Volume 40, 2012 - Issue 5
Submit an article Journal homepage
243
Views
16
CrossRef citations to date
0
Altmetric
Original Articles

A Survey on Free Objects in Division Rings and in Division Rings with an Involution

J. Z. Gonçalves Department of Mathematics, University of São Paulo, São Paulo, BrazilCorrespondence[email protected]
&
M. Shirvani Department of Mathematics and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada
Pages 1704-1723 | Received 24 Oct 2010, Published online: 15 May 2012

Citations (16)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Jairo Z. Goncalves. (2017) Free groups in a normal subgroup of the field of fractions of a skew polynomial ring. Communications in Algebra 45:12, pages 5193-5201.
Read now
VitorO. Ferreira, ÉricaZ. Fornaroli & Javier Sánchez. (2013) Free Fields in Malcev–Neumann Series Rings. Communications in Algebra 41:3, pages 1149-1168.
Read now

Articles from other publishers (14)

Vo Hoang Minh Thu. (2021) A Note on Symmetric Elements of Division Rings with Involution. Acta Mathematica Vietnamica 47:2, pages 495-502.
Crossref
M. H. Bien, B. X. Hai & D. T. Hue. (2022) On the unit groups of rings with involution. Acta Mathematica Hungarica 166:2, pages 432-452.
Crossref
Javier Sánchez. (2019) Free Group Algebras in Division Rings with Valuation II. Canadian Journal of Mathematics 72:6, pages 1463-1504.
Crossref
Vitor O. Ferreira, Jairo Z. Gonçalves & Javier Sánchez. (2019) Free Symmetric and Unitary Pairs in the Field of Fractions of Torsion-Free Nilpotent Group Algebras. Algebras and Representation Theory 23:3, pages 605-619.
Crossref
Edward Letzter. (2019) On free subsemigroups of associative algebras. Proceedings of the American Mathematical Society 148:2, pages 457-460.
Crossref
Javier Sánchez. (2019) Free group algebras in division rings with valuation I. Journal of Algebra 531, pages 221-248.
Crossref
Javier Sánchez. (2018) Obtaining free group algebras in division rings generated by group graded rings. Journal of Algebra and Its Applications 17:10, pages 1850194.
Crossref
Vitor O. Ferreira, Érica Z. Fornaroli & Jairo Z. Gonçalves. (2018) Free algebras in division rings with an involution. Journal of Algebra 509, pages 292-306.
Crossref
Jairo Z. Goncalves. (2017) Free pairs of symmetric and unitary units in normal subgroups of a division ring. Journal of Algebra and Its Applications 16:06, pages 1750108.
Crossref
Jason P. Bell & Jairo Z. Gonçalves. (2016) Free algebras and free groups in Ore extensions and free group algebras in division rings. Journal of Algebra 455, pages 235-250.
Crossref
Jairo Z. Gonçalves & Donald S. Passman. (2015) Free groups in normal subgroups of the multiplicative group of a division ring. Journal of Algebra 440, pages 128-144.
Crossref
Vitor O. Ferreira, Jairo Z. Gonçalves & Javier Sánchez. (2015) Free symmetric algebras in division rings generated by enveloping algebras of Lie algebras. International Journal of Algebra and Computation 25:06, pages 1075-1106.
Crossref
Vitor O. Ferreira & Jairo Z. Gonçalves. (2015) Free symmetric and unitary pairs in division rings infinite-dimensional over their centers. Israel Journal of Mathematics 210:1, pages 297-321.
Crossref
Vitor O. Ferreira, Jairo Z. Gonçalves & Javier Sánchez. (2013) Free symmetric group algebras in division rings generated by poly-orderable groups. Journal of Algebra 392, pages 69-84.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.