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arxiv: hep-th/9312023 · v1 · submitted 1993-12-03 · ✦ hep-th · math.RA

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On free differentials on associative algebras

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classification ✦ hep-th math.RA
keywords differentialassociativefreealgebraalgebrasarbitrarycalculicase
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A free differential for an arbitrary associative algebra is defined as a differential with a uniqueness property. The existence problem for such a differential is posed. The notion of optimal calculi for given commutation rules is introduced and an explicit construction of it for a homogenous case is provided. Some examples are presented.

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