This article is cited in 10 papers

On hereditary and bass orders

Yu. A. Drozd, V. V. Kirichenko, A. V. Roiter


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.

UDC: 519.49

MSC: 16E60, 16E30, 16E40, 16E65, 13F05

Received: 20.04.1967

 English version: Mathematics of the USSR-Izvestiya, 1967, 1:6, 1357–1375

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