Minimal free multi models for chain algebras

Details Minimal free multi models for chain algebras Minimal free multi models for chain algebras

2004-05-10

arxiv.org/abs/math/0405172v2

Georgian Math. J. 11 (2004) 733-752

Mathematics

Algebraic Topology

AMSTeX2.1, 21 pages

Scientific paper

Let R be a local ring and A a connected differential graded algebra over R which is free as a graded R-module. Using homological perturbation theory techniques, we construct a minimal free multi model for A having properties similar to that of an ordinary minimal model over a field; in particular the model is unique up to isomorphism of multialgebras. The attribute multi refers to the category of multicomplexes.

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