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Minimal free multi models for chain algebras

Johannes Huebschmann
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Abstract

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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Johannes Huebschmann. 2005-01-21. Minimal free multi models for chain algebras. https://arxiv.org/abs/math/0405172

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