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- W2209015887 abstract "It is well known that the differential graded operad of A_infinity-algebras is a cofibrant replacement (a dg-resolution) of the operad of associative differential graded algebras without units. In this article we find a cofibrant replacement of the operad of associative differential graded algebras with units. Algebras over it are called homotopy unital A_infinity-algebras. We prove that the operad bimodule of A_infinity-morphisms is a cofibrant replacement of the operad bimodule of morphisms of dg-algebras without units. Similarly we show that the operad bimodule of homotopy unital A_infinity-morphisms is a cofibrant replacement of the operad bimodule of morphisms of dg-algebras with units." @default.
- W2209015887 created "2016-06-24" @default.
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- W2209015887 date "2011-03-01" @default.
- W2209015887 modified "2023-10-16" @default.
- W2209015887 title "Homotopy unital <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:msub><mml:mi>A</mml:mi><mml:mo>∞</mml:mo></mml:msub></mml:math>-algebras" @default.
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- W2209015887 doi "https://doi.org/10.1016/j.jalgebra.2010.02.009" @default.
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