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Minimal Free Multi-Models for Chain Algebras

Minimal Free Multi-Models for Chain Algebras 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Minimal Free Multi-Models for Chain Algebras

Georgian Mathematical Journal , Volume 11 (4) – Dec 1, 2004

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References (82)

Publisher
de Gruyter
Copyright
© Heldermann Verlag
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.2004.733
Publisher site
See Article on Publisher Site

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 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.

Journal

Georgian Mathematical Journalde 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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