FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 373-385

Zelmanowitz density theorem for rings graded by semigroup

S. V. Zelenov

Abstract

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Rings graded by semigroup and modules graded by polygon over semigroup are considered in the paper. Notions of graded critically compressible module and quasi-injective hull are introduced. The structure of the corresponding objects is studied. The density theorem for graded weakly primitive ring is proved.

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Last modified: October 31, 2001.