Weakening a theorem on divided powers
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- by Moss E. Sweedler
- Trans. Amer. Math. Soc. 154 (1971), 427-428
- DOI: https://doi.org/10.1090/S0002-9947-1971-0279162-1
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Abstract:
We show that if a Hopf algebra has finite dimensional primitives and a primitive lies in arbitrarily long finite sequences of divided powers then it lies in an infinite sequence of divided powers.References
- Harry Prince Allen and Moss Eisenberg Sweedler, A theory of linear descent based upon Hopf algebraic techniques, J. Algebra 12 (1969), 242–294. MR 242906, DOI 10.1016/0021-8693(69)90051-9 R. Heyneman, Coalgebras of finite type (to appear).
- 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
- Moss E. Sweedler, Hopf algebras, Mathematics Lecture Note Series, W. A. Benjamin, Inc., New York, 1969. MR 0252485
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 154 (1971), 427-428
- MSC: Primary 18.20; Secondary 16.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-0279162-1
- MathSciNet review: 0279162