FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 1, PAGES 223-231

On rings over which the latice of all pretorsions has only one maximal element

I. D. Bunu

Abstract

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The latice K(R) of all pretorsions of the category $ \mathcal {M} $ of left unitary R-modules over an associative ring R with unity element is examined and the rings over which the latice K(R) has only one maximal element are described. Some applications are shown too.


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