%0 Journal Article
%T Coordinate Calculi on Associative Algebras
%A A. Borowiec
%A V. K. Kharchenko
%J Mathematics
%D 1995
%I arXiv
%X A new notion of an optimal algebra for a first order coordinate differential was introduced in \cite{BKO}. Some relevant examples are indicated. Quadratic identities in the optimal algebras and calculi on quadratic algebras are studied. Canonical construction of a quantum de Rham complex for the coordinate differential is proposed. The relations between calculi and various generalizations of the Yang--Baxter equation are established.
%U http://arxiv.org/abs/q-alg/9501018v1