On The E-Infinity Algebras

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS(2021)

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Abstract
In this paper we study an elementary use of E-infinity modules and E-infinity algebras as together they have a use in terms of describing triangulated categories. Also, we show an interpretation of E-infinity algebras where the modules are fibrant objects within the categories of differential graded co-algebras and co-modules.
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Key words
Coalgebra, DG-algebras, E-infinity algebra, Modules
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