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On free differentials on associative algebras

High Energy Physics - Theory 2008-02-03 v1 Rings and Algebras

Abstract

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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Cite

@article{arxiv.hep-th/9312023,
  title  = {On free differentials on associative algebras},
  author = {A. Borowiec and V. K. Kharchenko and Zbigniew Oziewicz},
  journal= {arXiv preprint arXiv:hep-th/9312023},
  year   = {2008}
}

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10 pages