Cohomologies over commutative Hopf algebras

Yukio DOI; Mitsuhiro TAKEUCHI

doi:10.2969/jmsj/02540680

Yukio DOI, Mitsuhiro TAKEUCHI

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1973 Volume 25 Issue 4 Pages 680-706

DOI https://doi.org/10.2969/jmsj/02540680

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Published: 1973 Received: January 30, 1973 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. Abe and Y. Doi, Decomposition theorem for Hopf algebras and pro-affine algebraic groups, J. Math. Soc. Japan, 24 (1972), 433-447.
2) M. E. Sweedler, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc., 133 (1968), 205-239.
3) M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
4) M. E. Sweedler, A units theorem applied to Hopf algebras and Amitsur cohomology, Amer. J. Math., 92 (1970), 259-271.
5) S. Maclane, Homology, Academic Press, New York, 1963.
6) M. Demazure et P. Gabriel, Groupes algebriques, Tome I, Masson & Cie., Paris, North-Holland, Amsterdam, 1970.
7) M. Takeuchi, On a semi-direct product decomposition of affine groups over a field of characteristic 0, Tohoku Math. J., 24 (1972), 453-456.
8) G. Hochschild, Introduction to affine algebraic groups, Holden-Day, San Francisco, 1971.

Right : [1] E. Abe and Y. Doi, Decomposition theorem for Hopf algebras and pro-affine algebraic groups, J. Math. Soc. Japan, 24 (1972), 433-447.
[2] M. E. Sweedler, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc., 133 (1968), 205-239.
[3] M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
[4] M. E. Sweedler, A units theorem applied to Hopf algebras and Amitsur cohomology, Amer. J. Math., 92 (1970), 259-271.
[5] S. Maclane, Homology, Academic Press, New York, 1963.
[6] M. Demazure et P. Gabriel, Groupes algebriques, Tome I, Masson & Cie., Paris, North-Holland, Amsterdam, 1970.
[7] M. Takeuchi, On a semi-direct product decomposition of affine groups over a field of characteristic 0, Tôhoku Math. J., 24 (1972), 453-456.
[8] G. Hochschild, Introduction to affine algebraic groups, Holden-Day, San Francisco, 1971.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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