Geodesic
The dimension of the tensor algebra of a~projective bimodule
Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 895-902.

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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. 
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     author = {Yu. V. Roganov},
     title = {The dimension of the tensor algebra of a~projective bimodule},
     journal = {Matemati\v{c}eskie zametki},
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     year = {1975},
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Yu. V. Roganov. The dimension of the tensor algebra of a~projective bimodule. Matematičeskie zametki, Tome 18 (1975) no. 6, pp. 895-902. http://geodesic.mathdoc.fr/item/MZM_1975_18_6_a11/