Published: 1982 Received: March 30, 1981Available on J-STAGE: October 20, 2006Accepted: July 17, 1981
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Date of correction: October 20, 2006Reason for correction: -Correction: CITATIONDetails: Wrong : 1) F. DeMeyer and E. Ingraham, Separable algebras over commutative rings, Lecture Notes in Math., 181, Springer, 1971. 2) Y. Doi and M. Takeuchi, Cohomologies over commutative Hopf algebras, J. Math. Soc. Japan, 25 (1973), 680-706. 3) Y. Doi, Homological coalgebra, J. Math. Soc. Japan, 33 (1981), 31-50. 4) K. Hirata, Some types of separable extensions of rings, Nagoya Math. J., 33 (1968), 107-115. 5) K. Sugano, Note on semisimple extensions and separable extensions, Osaka J. Math., 4 (1967), 265-270. 6) M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
Right : [1] F. DeMeyer and E. Ingraham, Separable algebras over commutative rings, Lecture Notes in Math., 181, Springer, 1971. [2] Y. Doi and M. Takeuchi, Cohomologies over commutative Hopf algebras, J. Math. Soc. Japan, 25 (1973), 680-706. [3] Y. Doi, Homological coalgebra, J. Math. Soc. Japan, 33 (1981), 31-50. [4] K. Hirata, Some types of separable extensions of rings, Nagoya Math. J., 33 (1968), 107-115. [5] K. Sugano, Note on semisimple extensions and separable extensions, Osaka J. Math., 4 (1967), 265-270. [6] M. E. Sweedler, Hopf algebras, Benjamin, New York, 1969.
Date of correction: October 20, 2006Reason for correction: -Correction: PDF FILEDetails: -