Cohomology of algebras over Hopf algebras

Cohomology of algebras over Hopf algebras
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Trans. Amer. Math. Soc. 133 (1968), 205-239

DOI: https://doi.org/10.1090/S0002-9947-1968-0224684-2

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References

Forms of algebras

S. A. Amitsur, Simple algebras and cohomology groups of arbitrary fields, Trans. Amer. Math. Soc. 90 (1959), 73–112. MR 101265, DOI 10.1090/S0002-9947-1959-0101265-7
Emil Artin, Cecil J. Nesbitt, and Robert M. Thrall, Rings with Minimum Condition, University of Michigan Publications in Mathematics, no. 1, University of Michigan Press, Ann Arbor, Mich., 1944. MR 0010543

Algèbre

Groupes et algébres de Lie

Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
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On the groups

58

V. K. A. M. Gugenheim, On extensions of algebras, co-algebras and Hopf algebras. I, Amer. J. Math. 84 (1962), 349–382. MR 143788, DOI 10.2307/2372767

Affine Hopf algebras

G. Hochschild, Simple algebras with purely inseparable splitting fields of exponent $1$, Trans. Amer. Math. Soc. 79 (1955), 477–489. MR 70961, DOI 10.1090/S0002-9947-1955-0070961-9
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Lectures in abstract algebra

Nathan Jacobson, Abstract derivation and Lie algebras, Trans. Amer. Math. Soc. 42 (1937), no. 2, 206–224. MR 1501922, DOI 10.1090/S0002-9947-1937-1501922-7
Richard G. Larson, Cocommutative Hopf algebras, Canadian J. Math. 19 (1967), 350–360. MR 209206, DOI 10.4153/CJM-1967-026-x
Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Band 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963. MR 0156879
John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211–264. MR 174052, DOI 10.2307/1970615
Alex Rosenberg and Daniel Zelinsky, On Amitsur’s complex, Trans. Amer. Math. Soc. 97 (1960), 327–356. MR 121391, DOI 10.1090/S0002-9947-1960-0121391-4
Jean-Pierre Serre, Corps locaux, Publications de l’Université de Nancago, No. VIII, Hermann, Paris, 1968 (French). Deuxième édition. MR 0354618
Moss E. Sweedler, The Hopf algebra of an algebra applied to field theory, J. Algebra 8 (1968), 262–276. MR 222053, DOI 10.1016/0021-8693(68)90059-8
Moss Eisenberg Sweedler, Hopf algebras with one grouplike element, Trans. Amer. Math. Soc. 127 (1967), 515–526. MR 210748, DOI 10.1090/S0002-9947-1967-0210748-5

Structure of inseparable extensions