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References
E. Artin, C. Nesbitt, R. Thrall, Rings with minimum conditions, University of Michigan Press, Ann Arbor 1944.
H. Bass, Algebraic K-theory, W.A. Benjamin, Inc., New York 1968.
-, Unitary algebraic K-theory, In: Algebric K-Theory III (Hermitian K-Theory and Geometric Applications), Lecture Notes in Math. no. 343, Springer-Verlag, Berlin-Heidelberg-New York 1973.
S. Chase and A. Rosenberg, A theorem of Harrison, Kummer theory, and Galois algebras, Nagoya Math. J. vol. 27 (1966), pp. 663–685.
S. Chase and M. Sweedler, Hopf algebras and Galois theory, Lecture Notes in Math. no. 97, Springer-Verlag, Berlin-Heidelberg-New York 1969.
S. Chase, Infinitesimal group scheme actions on finite field extensions, to appear in Amer. J. Math.
S. Chase, On principal homogeneous spaces and bilinear forms, preprint (1975).
M. Demazure and P. Gabriel, Groupes algebrique (Tome I), North Holland Publishing Co., Amsterdam 1970.
A. Frohlich and C.T.C. Wall, Equivariant Brauer groups in algebraic number theory, Bull. Soc. Math. France 25 (1971), pp.91–96.
J. Gamst and K. Hoechsmann, Quaternions generalises, Compt. Rendu. Acad. Sci. Paris 269(1969), pp.560–562.
D. Harrison, Abelian extensions of arbitrary fields, Trans. Amer. Math. Soc. 52 (1963), pp.230–235.
K. Hoechsmann, Über nicht-kommutative abelsche algebren, J. Reine Angew. Math. 218 (1965), pp. 1–5.
M. Knebusch, A. Rosenberg, and R. Ware, Structure of Witt rings and quotients of abelian group rings, Amer. J. Math. 54 (1972), pp. 119–155.
T.-Y. Lam, The algebraic theory of quadratic forms, W.A. Benjamin, Inc., New York 1973.
F. Long, A generalization of the Brauer group of graded algebras, Proc. London Math. Soc. 29 (1974), pp. 237–256.
-, The Brauer group of dimodule algebras, J. of Algebra 30 (1974), pp.559–601.
M. Orzech, A cohomological description of abelian Galois extensions, Trans. Amer. Math. Soc. 137 (1969), pp.481–499.
S. Shatz, Cohomology of Artinian group schemes over local fields, Ann. Math. 79 (1964), pp.411–449.
-, Galois theory, In: Category theory, homology theory and their applications (Vol. I), Lecture Notes in Math. no. 86, Springer-Verlag, Berlin-Heidelberg-New York 1969.
-, Principal homogeneous spaces for finite group schemes, Proc. Amer. Math. Soc. 22 (1969), pp.678–680.
M. Sweedler, Hopf algebras, W.A. Benjamin, Inc., New York 1969.
M. Takeuchi, private communication.
W. Waterhouse, Principal homogeneous spaces and group scheme extensions, Trans. Amer. Math. Soc. 153 (1971), pp.181–189.
A. Weil, Sur certains groupes d'opérateurs unitaires, Acta Math. 111 (1964), pp.143–211.
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Chase, S.U. (1976). On a variant of the witt and Brauer groups. In: Zelinsky, D. (eds) Brauer Groups. Lecture Notes in Mathematics, vol 549. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077341
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DOI: https://doi.org/10.1007/BFb0077341
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