This article is cited in 1 paper

Structure of genera of representations of nonsemisimple rings

Yu. A. Drozd

Kiev State University

Abstract: The investigation of integral representations of arbitrary rings is shown to be equivalent to the case of orders in semisimple algebras. An example is constructed showing that, for an order in a nonsemisimple algebra, the number of representations in the genus may increase without limit with varying genera.

UDC: 512.4

Received: 14.04.1970

 English version: Mathematical Notes, 1971, 10:1, 463–465

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