Ritt schemes and torsion theory

Alexandru Buium

Vol. 98 (1982), No. 2, 281–293

DOI: 10.2140/pjm.1982.98.281

Abstract

There is a natural way to associate a torsion theory to any differential ring. Using this tool, one may prove that there is a duality between the category of reduced affine Ritt schemes and a full subcategory of the category of Ritt algebras. As a consequence, a brief investigation is made concerning morphisms of differential finite type and a differential version of Chevalley’s constructibility theorem is proved for such morphisms.

Mathematical Subject Classification 2000

Primary: 13N05

Secondary: 13D30, 14A15

Milestones

Received: 3 April 1980

Revised: 9 December 1980

Published: 1 February 1982