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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Splittings of Hochschild’s complex for commutative algebras
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by Patrick J. Fleury PDF
Proc. Amer. Math. Soc. 30 (1971), 405-411 Request permission

Abstract:

Barr has shown that one may split Hochschild’s complex for commutative algebras into Harrison’s complex plus a shuffle subcomplex when working over a field of characteristic zero. We construct a splitting here for the above complex over a ring containing a field which does not have characteristic two and this splitting has Barr’s splitting as a special case.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 30 (1971), 405-411
  • MSC: Primary 18H20
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0291252-1
  • MathSciNet review: 0291252