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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
DOI:
https://doi.org/10.4213/mzm8536
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English version:
Mathematical Notes, 2011, 89:5, 672–688
Bibliographic databases:
  
UDC:
515.14
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
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz8536https://doi.org/10.4213/mzm8536 http://mi.mathnet.ru/eng/mz/v89/i5/p719
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This publication is cited in the following articles:
-
S. V. Lapin, “Chain Realization of Differential Modules with $\infty$-Simplicial Faces and the $B$-Construction over $A_\infty$-Algebras”, Math. Notes, 98:1 (2015), 111–129
 
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