Homological coalgebra

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doi:10.2969/jmsj/03310031

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1981 Volume 33 Issue 1 Pages 31-50

DOI https://doi.org/10.2969/jmsj/03310031

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Published: 1981 Received: December 13, 1978 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, Princeton, 1956.
2) E. Cline, B. Parshall and L. Scott, Induced modules and affine quotients, Math. Ann., 230 (1977), 1-14.
3) C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1962.
4) J. A. Green, Locally finite representations, J. Algebra, 41 (1976), 137-171.
5) G. Hochschild, Cohomology of algebraic linear groups, I11, J. Math., 5 (1961), 492-579.
6) R. G. Larson, Coseparable Hopf algebras, J. Pure & Applied Algebra, 3 (1973), 261-267.
7) I-p. Lin, Semiperfect coalgebras, J. Algebra, 49 (1977), 357-373.
8) J. B. Sullivan, The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras, J. Algebra, 19 (1971), 426-440.
9) M. E. Sweedler, Hopf Algebras, Benjamin, New York, 1969.
10) M. E. Sweedler, Integrals for Hopf algebras, Ann. of Math., 89 (1969), 323-335.
11) M. Takeuchi, Formal schemes over fields, Comm. Algebra, 5 (1977), 1483-1528.

Right : [1] H. Cartan and S. Eilenberg, Homological Algebra, Princeton Univ. Press, Princeton, 1956.
[2] E. Cline, B. Parshall and L. Scott, Induced modules and affine quotients, Math. Ann., 230 (1977), 1-14.
[3] C. W. Curtis and I. Reiner, Representation Theory of Finite Groups and Associative Algebras, Interscience, New York, 1962.
[4] J. A. Green, Locally finite representations, J. Algebra, 41 (1976), 137-171.
[5] G. Hochschild, Cohomology of algebraic linear groups, Ill, J. Math., 5 (1961), 492-579.
[6] R. G. Larson, Coseparable Hopf algebras, J. Pure & Applied Algebra, 3 (1973), 261-267.
[7] I-p. Lin, Semiperfect coalgebras, J. Algebra, 49 (1977), 357-373.
[8] J. B. Sullivan, The uniqueness of integrals for Hopf algebras and some existence theorems of integrals for commutative Hopf algebras, J. Algebra, 19 (1971), 426-440.
[9] M. E. Sweedler, Hopf Algebras, Benjamin, New York, 1969.
[10] M. E. Sweedler, Integrals for Hopf algebras, Ann. of Math., 89 (1969), 323-335.
[11] M. Takeuchi, Formal schemes over fields, Comm. Algebra, 5 (1977), 1483-1528.

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