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Free resolutions for differential modules over differential algebras

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Abstract

A free resolution (R, d + h) → (M, d) for a DG-module (M, d) over a DG-algebra (A, d) is constructed in the sense of a perturbation of the differential in a free bigraded resolution (R, d) → M of the underlying graded module M over an underlying graded algebra A.

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Authors and Affiliations

  1. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi, Georgia

    T. Kadeishvili

  2. University of Seville, Seville, Spain

    P. Real

Authors
  1. T. Kadeishvili
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  2. P. Real
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Correspondence to T. Kadeishvili.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 43, Topology and Its Applications, 2006.

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Kadeishvili, T., Real, P. Free resolutions for differential modules over differential algebras. J Math Sci 152, 307–322 (2008). https://doi.org/10.1007/s10958-008-9072-9

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  • DOI: https://doi.org/10.1007/s10958-008-9072-9

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