This article is cited in 3 papers

The dimension of the tensor algebra of a projective bimodule

Yu. V. Roganov

National Taras Shevchenko University of Kyiv

Abstract: It is proved that the dimension of the tensor algebra of a bimodule which is projective with one of the sides differs from the dimension of the ring over which this bimodule is considered by not more than one. A criterion for these dimensions to coincide is given.

UDC: 512

Received: 02.08.1974

 English version: Mathematical Notes, 1975, 18:6, 1119–1123

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