A topological prime quasi-radical

Author： Bazigaran B.   Glavatsky S.   Mikhalev A.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.139, Iss.4, 2006-12, pp. : 6663-6671

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Abstract

In this paper, we consider a topological prime quasi-radical μ(R), which is the intersection of closed prime ideals in a topological ring R. Examples are given that show that μ(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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