Volume no :53, Issue no: 1, September (2018)

Journal of Mathematical Sciences: Advances and Applications

GROUP RINGS OVER FROBENIUS RINGS

Author's: Samir Assuena
Pages: [101] - [108]
Received Date: September 15, 2018; Revised October 2, 2018
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121999

Abstract

In this paper, we consider group rings RG of finite groups over Frobenius rings. We introduce the concept of Jacobson ring for G and give necessary conditions over R to RG be a Frobenius ring.

Keywords

finite groups, quasi-Frobenius rings, Frobenius rings.