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This article is cited in 1 scientific paper (total in 1 paper)
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
S. V. Lapin Mordovian State Pedagogical Institute
Abstract:
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, Cartan object, May algebra, differential module, Steenrod operations, cohomology of a topological space.
Received: 11.10.2009 Revised: 09.06.2010
Citation:
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”, Mat. Zametki, 89:5 (2011), 719–737; Math. Notes, 89:5 (2011), 672–688
Linking options:
https://www.mathnet.ru/eng/mzm8536https://doi.org/10.4213/mzm8536 https://www.mathnet.ru/eng/mzm/v89/i5/p719
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