%0 Journal Article
%T Divergences on projective modules and non-commutative integrals
%A Tomasz Brzezi¨˝ski
%J Mathematics
%D 2010
%I arXiv
%R 10.1142/S0219887811005440
%X 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.
%U http://arxiv.org/abs/1010.1470v2