Geodesic
Coranks of a quasi-projective module and its endomorphism ring
Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 381-383

Voir la notice de l'article provenant de la source Cambridge University Press

Recently several authors have studied dualizing Goldie dimension of a module: spanning dimension in [2], codimension in [13], corank in [16] and also [9,17,12, 5,11, 6, 4, 7] ([13] may be read in comparison with the others). In the present note we prove the equality corank RP = corank SS, where P is a quasi-projective left R-module and S is its endomorphism ring. This result is an answer to the question [12, p. 1898] and an extension of [3, Corollary 4.3] which shows the above equality for a Σ-quasi-projective left R-module P. 
Takeuchi, Tsutomu. Coranks of a quasi-projective module and its endomorphism ring. Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 381-383. doi: 10.1017/S0017089500030998
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