FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 3, PAGES 11-22

A topological prime quasiradical

B. Bazigaran
S. T. Glavatsky
A. V. Mikhalev

Abstract

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In this paper, we consider a topological prime quasi-radical $$m(R), which is the intersection of closed prime ideals in a topological ring $R$. Examples are given that show that $$m(R) is different from those topological analogs of the prime radical that have been studied earlier. The topological prime quasi-radicals of matrix rings and rings of polynomials are investigated.

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