Self-Dual Normal Basis of a Galois Ring by Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra, Ahmad Muchlis

“…Let R′=GR(ps,psml) and R=GR(ps,psm) be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis for R′ over R, where R′ is considered as a free module over R. …”
Get full text

On generalized quaternion algebras by George Szeto

“…Sridharan such that (1) B[j] is a free B-module with a basis {1,j}, and (2) j2=−1 and jb=σ(b)j for each b in B. …”
Get full text