Abstract
It has been proved that if A is a right-distributive ring, algebraic over its center, and whose principal ideals are projective, then A is a left-distributive ring.
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Literature cited
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 861–863, June, 1990.
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Tuganbaev, A.A. Rings with projective principal right ideals. Ukr Math J 42, 760–762 (1990). https://doi.org/10.1007/BF01058932
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DOI: https://doi.org/10.1007/BF01058932