On left distributivity of some right distributive rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 289-300
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Let $A$ be a right distributive right nonsingular ring. Assume that for every element $a\in A$ there exists a natural number $n$ such that $a^nA\subseteq Aa$. Then $A$ is a left distributive ring.
@article{FPM_1995_1_1_a16,
author = {A. A. Tuganbaev},
title = {On left distributivity of some right distributive rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {289--300},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {1995},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a16/}
}
A. A. Tuganbaev. On left distributivity of some right distributive rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 289-300. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a16/