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The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebra. (English) Zbl 0239.16006

MSC:
16W30 Hopf algebras (associative rings and algebras) (MSC2000)
14L15 Group schemes
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References:
[1] Hochschild, G, The structure of Lie groups, (1965), Holden-Day San Francisco, Calif · Zbl 0131.02702
[2] Larson, R; Sweedler, M, An associative orthogonal bilinear form for Hopf algebras, Amer. J. math., 91, 75-94, (1969) · Zbl 0179.05803
[3] Nagata, M, Complete reducibility of rational representations of a matric group, J. math. Kyoto univ., 1, 87-99, (1961) · Zbl 0106.25201
[4] Sweedler, M, Integrals for Hopf algebras, Ann. of math., 89, 323-335, (1969) · Zbl 0174.06903
[5] Sweedler, M.E, Hopf algebras, (1969), Benjamin New York · Zbl 0194.32901
[6] Sweedler, M.E, Connected fully reducible affine group scheme in positive characteristic are abelian, Journal of math, of Kyoto university, 11-1, 51-70, (1971) · Zbl 0213.47204
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