Advanced search
Publication Cover
Communications in Algebra Volume 34, 2006 - Issue 2
Submit an article Journal homepage
145
Views
28
CrossRef citations to date
0
Altmetric
Original Articles

On Symmetric Elements and Symmetric Units in Group Rings

Eric Jespers Department of Mathematics, Vrije Universiteit Brussel, Brussel, Belgium
&
Manuel Ruiz Marín Departamento Métodos Cuantitativos, e Informáticos, Universidad Politécnica de Cartagena, Cartagena, SpainCorrespondence[email protected]
Pages 727-736 | Received 15 Oct 2004, Published online: 03 Sep 2006

Citations (28)

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 (5)

M. Akbari-Sehat & M. Ramezan-Nassab. (2024) Laurent polynomial identities on symmetric units of group algebras. Communications in Algebra 52:7, pages 3126-3133.
Read now
M. H. Bien, M. Ramezan-Nassab & D. H. Viet. (2021) *-Group identities on units of division rings. Communications in Algebra 49:7, pages 3010-3019.
Read now
Alexander Holguín-Villa & John H. Castillo. (2020) Normal group algebras. Communications in Algebra 48:10, pages 4391-4402.
Read now
Edward L. Tonucci & Thierry C. Petit Lobao. (2020) Anticommutativity of symmetric elements under generalized oriented involutions. Communications in Algebra 48:5, pages 1882-1893.
Read now
GregoryT. Lee. (2012) A Survey on *-Group Identities on Units of Group Rings. Communications in Algebra 40:12, pages 4540-4567.
Read now

Articles from other publishers (23)

Alexander Holguín-Villa & John H. Castillo. (2023) Group identities on symmetric units under oriented involutions in group algebras. Ricerche di Matematica.
Crossref
Ernesto Spinelli. 2021. Polynomial Identities in Algebras. Polynomial Identities in Algebras 411 421 .
Dishari Chaudhuri. (2020) Skew-symmetric elements of rational group algebras. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61:4, pages 719-729.
Crossref
Antonio Giambruno, Cesar Polcino Milies & Sudarshan K. Sehgal. (2018) Star-group identities on units of group algebras: The non-torsion case. Forum Mathematicum 30:1, pages 213-225.
Crossref
John H. Castillo & Alexander Holguín-Villa. (2015) Oriented group involutions in group algebras: a survey. São Paulo Journal of Mathematical Sciences 10:2, pages 228-247.
Crossref
Salvatore Siciliano & Hamid Usefi. (2016) Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian. Forum Mathematicum 28:4, pages 807-812.
Crossref
A. P. Raposo. (2015) Skew-symmetric Elements in Nonlinear Involutions in Group Rings. Algebra Colloquium 22:02, pages 321-332.
Crossref
JAIRO Z. GONÇALVES & ÁNGEL DEL RÍO. (2013) A SURVEY ON FREE SUBGROUPS IN THE GROUP OF UNITS OF GROUP RINGS. Journal of Algebra and Its Applications 12:06, pages 1350004.
Crossref
Edgar G. Goodaire & César Polcino Milies. (2018) Involutions and Anticommutativity in Group Rings. Canadian Mathematical Bulletin 56:2, pages 344-353.
Crossref
Salvatore Siciliano & Hamid Usefi. (2012) Lie identities on symmetric elements of restricted enveloping algebras. Israel Journal of Mathematics 195:2, pages 999-1012.
Crossref
R. García-Delgado & A. P. Raposo. (2012) Symmetric Elements of Nonlinear Involutions in Group Rings. Algebra Colloquium 19:spec01, pages 1041-1050.
Crossref
Zsolt Balogh. (2012) Lie derived length and involutions in group algebras. Journal of Pure and Applied Algebra 216:6, pages 1282-1287.
Crossref
Francesco Catino, Gregory T. Lee & Ernesto Spinelli. (2011) The bounded Lie Engel property on torsion group algebras. Journal of Pure and Applied Algebra 215:11, pages 2639-2644.
Crossref
Raul A. Ferraz, Edgar G. Goodaire & César Polcino Milies. (2010) Some classes of semisimple group (and loop) algebras over finite fields. Journal of Algebra 324:12, pages 3457-3469.
Crossref
Antonio Giambruno, César Polcino Milies & Sudarshan K. Sehgal. (2010) Star-group identities and groups of units. Archiv der Mathematik 95:6, pages 501-508.
Crossref
Gregory T. Lee, Sudarshan K. Sehgal & Ernesto Spinelli. (2010) Nilpotency of group ring units symmetric with respect to an involution. Journal of Pure and Applied Algebra 214:9, pages 1592-1597.
Crossref
A. Giambruno, C. Polcino Milies & Sudarshan K. Sehgal. (2009) Group identities on symmetric units. Journal of Algebra 322:8, pages 2801-2815.
Crossref
Edgar G. Goodaire & César Polcino Milies. (2018) Involutions of RA Loops. Canadian Mathematical Bulletin 52:2, pages 245-256.
Crossref
Gregory T. Lee, Sudarshan K. Sehgal & Ernesto Spinelli. (2009) Lie properties of symmetric elements in group rings II. Journal of Pure and Applied Algebra 213:6, pages 1173-1178.
Crossref
OSNEL BROCHE CRISTO, ERIC JESPERS, CESAR POLCINO MILIES & MANUEL RUIZ MARÍN. (2011) ANTISYMMETRIC ELEMENTS IN GROUP RINGS II. Journal of Algebra and Its Applications 08:01, pages 115-127.
Crossref
A. Giambruno, C. Polcino Milies & Sudarshan K. Sehgal. (2009) Lie properties of symmetric elements in group rings. Journal of Algebra 321:3, pages 890-902.
Crossref
O. Broche, E. Jespers & M. Ruiz. (2009) Antisymmetric elements in group rings with an orientation morphism. Forum Mathematicum 21:3.
Crossref
Ann Dooms & Manuel Ruiz. (2007) Symmetric units satisfying a group identity. Journal of Algebra 308:2, pages 742-750.
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.