(σ, τ)-Derivations of group rings. Issue 9 (2nd September 2019)

• Record Type: Journal Article
• Authors: Chaudhuri, Dishari
• Is Part Of: Communications in algebra. Volume 47:Issue 9(2019)
• Page Start: 3800
• Page End: 3807
• Publication Date: 2019-09-02
• Subjects: Derivations -- group rings; 16S34 -- 16W25; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2019.1570238
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: We study ( σ, τ ) -derivations of a group ring RG of a finite group G over an integral domain R with 1. As an application we extend a well known result on derivation of an integral group ring Z G to ( σ, τ ) -derivation on it for a finite group G with some conditions on σ and τ . In the process of the extension, a generalization of an application of Skolem-Noether Theorem to derivation on a finite dimensional central simple algebra has also been given for the ( σ, τ ) -derivation case.