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.

Location: http://mech.math.msu.su/~fpm/eng/k09/k092/k09210h.htm

Last modified: December 22, 2009