FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 293-298

**Radicals of semiperfect rings related to idempotents**

V. T. Markov

A. A. Nechaev

Abstract

View as HTML
View as gif image
View as LaTeX source

For a semiperfect ring $A$ we prove
the existence of the minimal ideal $$*M*(A) (modular
radical) such that the quotient ring $A/$*M*(A) has
the identity element, and of the minimal ideal $$*W*(A)
(Wedderburn radical) such that the quotient ring $A/$*W*(A) is
decomposable into a direct sum of matrix rings over local rings.
A simple criterion of such decomposability is given for left
Noetherian semiperfect rings and left perfect rings.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00125h.htm

Last modified: April 11, 2000