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Linear connections on almost commutative algebras. (English) Zbl 1087.81032

Summary: In this paper we study a linear connection on bimodules over almost commutative algebras using the framework of noncommutative geometry. We also present its curvature and its torsion. As an example there are presented linear connections on \(N\)-dimensional quantum hyperplane over two kinds of bimodules.

MSC:

81R60 Noncommutative geometry in quantum theory
16W99 Associative rings and algebras with additional structure
53B05 Linear and affine connections
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