FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 2, PAGES 207-209

A remark on the intersection of powers of the Jacobson radical

A. A. Tuganbaev

Abstract

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If $A$ is a left Noetherian, right distributive ring, then $$Ç _k=1^¥ (J(A))^k = 0.

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Last modified: December 22, 2009