(also nonabelian homological algebra)
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For an algebra and an ideal, a Koszul-Tate resolution is a resolution of the quotient by a cochain dg-algebra in non-positive degree that is degreewise free/projective.
It is a refinement of a Koszul complex or rather an extension.
Jean-Louis Koszul, Homologie et cohomologie des algèbres de Lie , Bulletin de la Société Mathématique de France, 78, 1950, pp 65-127.
John Tate, Homology of Noetherian rings and local rings , Illinois Journal of Mathematics, 1, 1957, pp. 14-27
Last revised on November 18, 2023 at 11:09:33. See the history of this page for a list of all contributions to it.