On the Homology of Associative Algebras

  title={On the Homology of Associative Algebras},
  author={David Anick},
We present a new free resolution for k as an G-module, where G is an associative augmented algebra over a field k. The resolution reflects the combinatorial properties of G. Introduction. Let k be a field and let G be an associative augmented fc-algebra. For many purposes one wishes to have a projective resolution of k as a G-module. The bar resolution is always easy to define, but it is often too large to use in practice. At the other extreme, minimal resolutions may exist, but they are often… CONTINUE READING
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