2016-07-042016-07-042016-09Muro Jiménez, F. (2016). Cylinders for non-symmetric DG-operads via homological perturbation theory. Journal of Pure and Applied Algebra, 220 (9), 3248-3281.0022-4049http://hdl.handle.net/11441/43063We construct small cylinders for cellular non-symmetric DG-operads over an arbitrary commutative ring by using the basic perturbation lemma from homological algebra. We show that our construction, applied to the A-infinity operad, yields the operad parametrizing A-infinity maps whose linear part is the identity. We also compute some other examples with non-trivial operations in arities 1 and 0.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/OperadCylinderHomotopyinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.jpaa.2016.02.013https://idus.us.es/xmlui/handle/11441/43063