1. Algèbres graduées avec symétries
- Author
-
Battikh, Naoufel
- Subjects
- *
ALGEBRA , *MATHEMATICAL symmetry , *DIFFERENTIAL forms , *HOMOLOGY theory , *MATHEMATICS , *MATHEMATICAL analysis - Abstract
Abstract: In this paper we define the notion of “graded algebra with symmetries”. This notion is a generalization of the extended differential forms. We prove that for a graded algebra with symmetries T, we associate a subalgebra which generalizes the noncommutative differential forms. Using this algebra , we can define the Hochschild and cyclic homologies, cup i-products and the Steenrod squares. [Copyright &y& Elsevier]
- Published
- 2011
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