Abstract
It is proved in the paper that the multiplication operation on an arbitrary E ∞-algebra can be extended to an E ∞-algebra A ∞-morphism. As a corollary, it is proved that every May algebra defined by an E ∞-algebra is a Cartan object in the category of May algebras.
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Original Russian Text © S. V. Lapin, 2011, published in Matematicheskie Zametki, 2011, Vol. 89, No. 5, pp. 719–737.
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Lapin, S.V. Extension of the multiplication operation in E ∞-algebras to an A ∞-morphism of E ∞-algebras and Cartan objects in the category of May algebras. Math Notes 89, 672–688 (2011). https://doi.org/10.1134/S0001434611050087
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DOI: https://doi.org/10.1134/S0001434611050087