ANTISYMMETRIC ELEMENTS IN GROUP RINGS II-Reference-Cited by-同舟云学术

ANTISYMMETRIC ELEMENTS IN GROUP RINGS II

Published:2009-02 Issue:01 Volume:08 Page:115-127
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

CRISTO OSNEL BROCHE¹,JESPERS ERIC²,MILIES CESAR POLCINO³,MARÍN MANUEL RUIZ⁴

Affiliation:

1. Departamento de Ciências Exatas, Universidade Federal de Lavras, Caixa Postal 3037, 37200-000 Lavras, Brazil

2. Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, Brussel, 1050, Belgium

3. Instituto de Matemática y Estatística, Universidaded de São Paulo, Caixa Postal 66281, 05315-970 São Paulo, Brazil

4. Departamento de Métodos Cuantitativos e Informáticos, Universidad Politécnica de Cartagenam, Cartagena, 30.203, Spain

Abstract

Let R be a commutative ring, G a group and RG its group ring. Let φ : RG → RG denote the R-linear extension of an involution φ defined on G. An element x in RG is said to be φ-antisymmetric if φ (x) = -x. A characterization is given of when the φ-antisymmetric elements of RG commute. This is a completion of earlier work.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498809003254

Reference13 articles.

1. Identities in rings with involutions

2. COMMUTATIVITY OF SKEW SYMMETRIC ELEMENTS IN GROUP RINGS

3. Unitary units and skew elements in group algebras

4. Lie nilpotence of group rings

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