Studies on Amitsur Cohomology |
Common terms and phrases
2-cocycle ₂D Alan McConnell Amitsur cohomology Amitsur complex B/radB Brauer group C(U¹ Cauchy sequence central simple algebra ck+1 coboundary cocycle of H2 cohomology group commutative A-algebra commutative ring CORNELI CORNELL CORNELL UNIVERSITY CORNELL LIBRARY CORNELL CORNELL LIBRARY UNIVERSITY CORNELL UNIVERSITY CORNELL CORNELL UNIVERSITY LIBRARY Corollary D₁ defined derivation direct limit epimorphism equivalent exact sequence field extension functor given k>0 H² K/F hence Hochschild hypothesis isomorphism Lemma LIBRARY CORNELL CORNELL LIBRARY CORNELL LIBRARY LIBRARY CORNELL UNIVERSITY LIBRARY UNIVERSITY CORNELL LIBRARY UNIVERSITY LIBRARY Lie algebra cohomology Lie algebra extension Lie algebra homomorphism maximal commutative subfield maximal ideal n₂ noetherian local ring Proof radA radB regular restricted Lie residue class field restricted Lie algebra separable extension simple algebra t₁ t₂ Theorem B3 UNIVERSITY CORNELL LIBRARY UNIVERSITY CORNELL UNIVERSITY UNIVERSITY LIBRARY CORNELL UNIVERSITY LIBRARY LIBRARY UNIVERSITY NIVERSITY LIBRARY UNIVERSITY UNIVERSITY