2018/03/26 by Dishari Chaudhuri, Chaudhuri, Dishari
Mathematics · #16S34 #16W25 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #Rings, Modules, and Algebras #math.RA #msc:16S34 #msc:16W25
paper · pdf · doi:10.48550/arxiv.1803.09418
openalex publication_date 2018/03/26 · arxiv created 2018/07/09 · arxiv updated 2018/07/10 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
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 ℤG 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.