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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