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Fields and forms on \(\rho\)-algebras. (English) Zbl 1086.58003

Summary: In this paper we introduce noncommutative fields and forms on a new kind of noncommutative algebras: \(\rho\)-algebras. We also define the Frölicher-Nijenhuis bracket in the noncommutative geometry on \(\rho\)-algebras.

MSC:

58B34 Noncommutative geometry (à la Connes)
46L87 Noncommutative differential geometry
81R60 Noncommutative geometry in quantum theory
16W25 Derivations, actions of Lie algebras
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