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Divergences on projective modules and non-commutative integrals
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 noncommutative algebra, the Berezin integral on the supercircle and integrals
on Hopf algebras.Comment: 13 pages; v2 construction of projective modules has been generalise
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