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A remark on the intersection of powers of the Jacobson radical

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If A is a left Noetherian, right distributive ring, then \( \bigcap\limits_{k = 1}^\infty {{{\left( {J(A)} \right)}^k} = 0} \).

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Correspondence to A. A. Tuganbaev.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 2, pp. 207–209, 2009.

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Tuganbaev, A.A. A remark on the intersection of powers of the Jacobson radical. J Math Sci 167, 868–869 (2010). https://doi.org/10.1007/s10958-010-9966-1

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