Plane modules and distributive rings
Let $A$ be a semiprime ring entire over its center. We prove that the following conditions are equivalent:
(a) A is a ring distributive from the right (left);
(b) w.gl. $\dim (A) ≤ 1$; moreover, if $M$ is an arbitrary prime ideal of the ring $A$, then $A/M$ is a right Ore set.
English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 5, pp 794-797.
Citation Example: Tuganbaev A. A. Plane modules and distributive rings // Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 721–724.