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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 those 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.
Georgian Mathematical Journal – de Gruyter
Published: Dec 1, 2004
Keywords: Models for differential graded algebras; minimal models for differential graded algebras over local rings; multicomplex; multialgebra; homological perturbations
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