Geodesic
Extension of the Multiplication Operation in~$E_\infty$-Algebras to an $A_\infty$-Morphism of $E_\infty$-Algebras and Cartan Objects in the Category of May Algebras
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 719-737.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved in the paper that the multiplication operation on an arbitrary $E_\infty$-algebra can be extended to an $E_\infty$-algebra $A_\infty$-morphism. As a corollary, it is proved that every May algebra defined by an $E_\infty$-algebra is a Cartan object in the category of May algebras.
Keywords: $E_\infty$-algebra, $A_\infty$-morphism, May algebra, differential module, Steenrod operations, cohomology of a topological space.
Mots-clés : Cartan object 
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S. V. Lapin. Extension of the Multiplication Operation in~$E_\infty$-Algebras to an $A_\infty$-Morphism of $E_\infty$-Algebras and Cartan Objects in the Category of May Algebras. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 719-737. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a7/

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