Abstract: N. Vonessen, "Mapping Galois extensions into division algebras"

Nikolaus Vonessen, Mapping Galois Extensions into Division Algebras, Proc. Amer. Math. Soc. 119 (1993), 1061-1068.

Abstract:

Let A be a ring with a finite group of automorphisms G, and let f₁ and f₂ be homomorphisms from A into some division algebra D such that f₁ and f₂ agree on the fixed ring A^G. Assuming that certain additional assumptions are satisfied, it is shown that f₁ and f₂ differ only by an automorphism in G and an inner automorphism of D.