FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 7, PAGES 235-243

Radicals and $l$-modules

N. E. Shavgulidze

Abstract

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We show that for any special class of $l$-modules, we can define a special class of $l$-rings. We prove that the special radical of an $l$-ring $R$ can be represented as the intersection of the $l$-annihilators of $l$-modules over $R$ belonging to the special class. The prime radical of an $l$-ring $R$ can be represented as the intersection of the $l$-annihilators of $l$-prime $l$-modules over $R$.

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Last modified: April 18, 2010