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Lindsay N Childs
F R DeMeyer
Gerald S Garfinkel
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1-Azumaya abelian group action of G Amer Amitsur cohomology Auslander automorphisms Azumaya algebra Br(K Br(S Brauer group central extensions Cl(A Cl(R class group cocycle commutative diagram commutative k-algebra commutative k-group scheme commutative ring construct coordinate ring Corollary corresponding define denote derivation direct sum divisor class group dual basis element equivalence exact sequence example exponent faithfully flat faithfully projective fibration finite commutative k-group finite field formula functor GD(T Grothendieck hence Hopf algebra identity induced irreducible isomorphism classes isotrivial k-scheme kernel Knus Lemma let G Math maximal ideals module monoidal category morphism multiplication normal pages 1974 Vol phism PHS's Pic(B Pic(S PPHS for G PPHS(k progenerator projective R-module Proof Proposition proved R-algebra R-module resp result scheme G separable monoid sheaf smash product Spec(C SpecB(R split subalgebra surjective tensor product Theorem theory topology trivial Witt group Zelinsky