Non commutative algebraic spaces of finite type over Dedekind domains (Q2467634)

The paper under review investigates non commutative algebraic spaces of finite type over Dedekind domains which are finitely generated over \(\mathbb{Z}.\) The author proposes candidates for non commutative algebraic spaces, NAS for short. This is done in two steps. The first is to define LNAS's as sheaves of algebras over usual algebraic spaces. The second is to define NAS's as objects which are LNAS's when reduced to the positive characteristic case.