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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Weakening a theorem on divided powers


Author: Moss E. Sweedler
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
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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 [Enhancements On Off] (What's this?)

  • [1] H. P. Allen and M. E. Sweedler, A theory of linear descent based upon Hopf algebraic techniques, J. Algebra 12 (1969), 242-294. MR 39 #4233. MR 0242906 (39:4233)
  • [2] R. Heyneman, Coalgebras of finite type (to appear).
  • [3] M. E. Sweedler, Hopf algebras with one grouplike element, Trans. Amer. Math. Soc. 127 (1967), 515-526. MR 35 #1634. MR 0210748 (35:1634)
  • [4] -, Hopf algebras, Benjamin, New York, 1969. MR 0252485 (40:5705)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1971-0279162-1
Keywords: Coalgebra, cocommutative, coheight, co-Noetherian, irreducible, primitive, sequences of divided powers
Article copyright: © Copyright 1971 American Mathematical Society

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