Real Jurado, PedroJiménez Rodríguez, María José2015-11-162015-11-162007Real Jurado, P. y Jiménez Rodríguez, M.J. (2007). Rectifications of A-Algebras. Communications in Algebra, 35, 2731-2743.http://hdl.handle.net/11441/30774In this article, in the setting of connected DG-modules, we prove that, for any A -algebra M mi i≥1 , there is a chain contraction from a DG-algebra AM onto the DG-module M such that the A -algebra structure induced by perturbation theory on M is precisely the original one. In fact, the mentioned DG-algebra can be considered a rectification of the A -algebra in the sense of Boardman and Vogt (1973). Appropiate dual results are given for A -coalgebras.application/pdfengAtribución-NoComercial-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/A -AlgebraA -CoalgebraContractionTilde bar constructionTilde cobar constructioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1080/00927870701353514