A note on flat noncommutative connections
Tom 98 / 2012
Banach Center Publications 98 (2012), 43-53
MSC: 58B34.
DOI: 10.4064/bc98-0-2
Streszczenie
It is proven that every flat connection or covariant derivative on a left A-module M (with respect to the universal differential calculus) induces a right A-module structure on M so that \nabla is a bimodule connection on M or M is a flat differentiable bimodule. Similarly a flat hom-connection on a right A-module M induces a compatible left A-action.