On free differentials on associative algebras
A. Borowiec, V. K. Kharchenko, Zbigniew Oziewicz
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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