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A dilemma of nonequivalent definitions of differential operators in noncommutative geometry

Quantum Algebra 2007-05-23 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In contrast with differential operators on modules over commutative and graded commutative rings, there is no satisfactory notion of a differential operator in noncommutative geometry.

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Cite

@article{arxiv.math/0702850,
  title  = {A dilemma of nonequivalent definitions of differential operators in noncommutative geometry},
  author = {G. Sardanashvily},
  journal= {arXiv preprint arXiv:math/0702850},
  year   = {2007}
}

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17 pages