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A direct sum decomposition for the Brauer group of H-module algebras. (English) Zbl 0342.16010


MSC:

16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
14F22 Brauer groups of schemes
16W20 Automorphisms and endomorphisms
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References:

[1] Chase, S. U.; Sweedler, M. E., Hopf Algebras and Galois Theory, (Lecture Notes in Mathematics 97 (1969), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0197.01403
[2] Childs, L. N.; Garfinkel, G.; Orzech, M., The Brauer group of graded Azumaya algebras, Trans. Amer. Math. Soc., 175, 299-325 (1973) · Zbl 0265.13002
[3] Long, F. W., The Brauer group of dimodule algebras, J. Algebra, 30, 559-601 (1974) · Zbl 0282.16007
[4] Orzech, M.; Small, C., The Brauer Group of Commutative Rings, (Lecture Notes in Pure and Applied Mathematics (1975), Marcel Dekker: Marcel Dekker New York), No. 11 · Zbl 0302.13001
[5] Picco, D. J.; Platzeck, M. I., Graded algebras and Galois extensions, Rev. Union Mat. Argentina, 25, 401-415 (1971) · Zbl 0293.13001
[6] Sweedler, M. E., Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc., 133, 205-239 (1968) · Zbl 0164.03704
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