On Hereditary and BASS Orders
Abstract
A criterion is given for orders over Dedekind rings to be hereditary. It is proved that every finitely generated torsionfree module over a Bass order, i.e., an order of which every superring has injective dimension one, splits into a direct sum of ideals. A local description of Bass orders is presented.
- Publication:
-
Izvestiya: Mathematics
- Pub Date:
- December 1967
- DOI:
- 10.1070/IM1967v001n06ABEH000625
- Bibcode:
- 1967IzMat...1.1357D