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 
@article{MZM_2011_89_5_a7,
     author = {S. V. Lapin},
     title = {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}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {719--737},
     publisher = {mathdoc},
     volume = {89},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a7/}
}
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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/