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arxiv: q-alg/9501024 · v2 · submitted 1995-01-23 · q-alg · math.QA

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First Order Optimum Calculi

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classification q-alg math.QA
keywords calculialgebrasfirsthomogeneousoptimaloptimumorderbimodule
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A new notion of an optimum first order calculi was introduced in [Borowiec, Kharchenko and Oziewicz, 1993]. A module of vector fields for a coordinate differential is defined. Some examples of optimal algebras for homogeneous bimodule commutations are presented. Classification theorem for homogeneous calculi with commutative optimal algebras in two variables is proved.

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