Inner Gradings and Galois Extensions with Normal Basis

Margaret Beattie
1989 Proceedings of the American Mathematical Society  
We prove that for G a finite group, a (/-graded Azumaya algebra over a commutative ring has inner grading if and only if an associated Galois extension has normal basis.
doi:10.2307/2047644 fatcat:5il7kwqc5nah5df5i3q4gjqjsy