Symmetric homology over rings containing the rationals

Fleury, Patrick J.

doi:10.1090/S0002-9939-1973-0318267-0

Symmetric homology over rings containing the rationals
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Proc. Amer. Math. Soc. 40 (1973), 69-74 Request permission

Abstract:

Let $R$ be a commutative ring with unit which contains the rational numbers. Let $A$ be a commutative $R$-algebra. In this paper we prove that the cotriple homology and cohomology modules of $R$ for the symmetric algebra cotriple are the same as Harrison’s homology and cohomology modules.

References

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Triples, algebras and cohomology

Aspects of Harrison’s homology theory

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