noncommutative thin scheme
Given a commutative field , a noncommutative thin -scheme (in the terminology of Maxim Kontsevich) is a left exact functor from the category of finite dimensional -algebras to Set, or equivalently by duality, from to . Every such functor is representable by a -coalgebra.
L. le Bruyn, Noncommutative geometry and dual coalgebras, arXiv:0805.2377
M. Kontsevich, Y. Soibelman, Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I, math.RA/0606241
Revised on March 6, 2013 19:24:22
by Zoran Škoda