Geodesic
Distributive and semihereditary rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 253-251.

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Let $A$ be a right and left distributive ring. For a positive integer $n$, we obtain a criterion of projectivity of all $n$-generated right ideals of the ring $A$ and a criterion of the right semi-heredity of the ring $A$. 
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A. A. Tuganbaev. Distributive and semihereditary rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 253-251. http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a14/

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