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Matematicheskie Zametki, 2011, Volume 89, Issue 5, Pages 719–737
DOI: https://doi.org/10.4213/mzm8536 (Mi mzm8536) 		 
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
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DOI: https://doi.org/10.4213/mzm8536
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
English version:
Mathematical Notes, 2011, Volume 89, Issue 5, Pages 672–688
DOI: https://doi.org/10.1134/S0001434611050087
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
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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\pages 719--737
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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