Abstract
LetA 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, ifM is an arbitrary prime ideal of the ringA, thenA/M is a right Ore set.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 721–724, May, 1993.
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Tuganbaev, A.A. Plane modules and distributive rings. Ukr Math J 45, 794–797 (1993). https://doi.org/10.1007/BF01058215
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DOI: https://doi.org/10.1007/BF01058215