FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 179-185

Modules with Nakayama's property

A. A. Tuganbaev

Abstract

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Modules MA with Nakayama's property are studied. In particular, for a right invariant ring A, it is proved that all right A-modules satisfy Nakayama's property if and only if the ring A is right perfect.

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Last modified: October 18, 2012