FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

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

**Radicals and $l$-modules**

N. E. Shavgulidze

Abstract

View as HTML
View as gif image

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 $R$.

Location: http://mech.math.msu.su/~fpm/eng/k09/k097/k09713h.htm

Last modified: April 18, 2010