This article is cited in 13 papers

On quasi-Bass orders

Yu. A. Drozd, V. V. Kirichenko


Abstract: We study quasi-Bass orders over complete local Dedekind rings, i.e. orders of which every indecomposable representation module is a direct summand of an over-ring. We give a method allowing us to reduce the study of such orders to the case of “small” algebras. The Bass and quasi-Bass concepts are carried over to the case of finite-dimensional algebras.

UDC: 519.49

MSC: Primary 16A10, 16A04; Secondary 14A36, 16A50, 16A52

Received: 14.07.1970

 English version: Mathematics of the USSR-Izvestiya, 1972, 6:2, 323–365

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