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Proceedings of the American Mathematical Society

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

 
 

 

Splittings of Hochschild's complex for commutative algebras


Author: Patrick J. Fleury
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0291252-1
Keywords: Shuffle, Harrison homology theory, Hochschild homology theory, splitting, differential graded algebra
Article copyright: © Copyright 1971 American Mathematical Society

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