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articleNo Access
DIVERGENCES ON PROJECTIVE MODULES AND NON-COMMUTATIVE INTEGRALS
- TOMASZ BRZEZIŃSKI
International Journal of Geometric Methods in Modern Physics01 Jun 2011
Preview Abstract
A method of constructing (finitely generated and projective) right module structure on a finitely generated projective left module over an algebra is presented. This leads to a construction of a first-order differential calculus on such a module which admits a hom-connection or a divergence. Properties of integrals associated to this divergence are studied, in particular the formula of integration by parts is derived. Specific examples include inner calculi on a non-commutative algebra, the Berezin integral on the supercircle and integrals on Hopf algebras.

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