On hereditary and bass orders

Yu. A. Drozd ; V. V. Kirichenko ; A. V. Roiter

Izvestiya. Mathematics , Tome 1 (1967) no. 6, pp. 1357-1375.

Résumé

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.

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