Márki, L.; Mlitz, R.; Wiegandt, R. A note on radical and semisimple classes of topological rings. (English) Zbl 0645.16027 Acta Sci. Math. 51, No. 1-2, 145-151 (1987). The theory of radicals of topological rings is constructed from the categorical point of view. This theory is a generalization of the theory of radicals of topological rings, which has been constructed in analogy with the Amitsur-Kurosh radical theory. The properties of radical or semisimple classes are deduced. Reviewer: V. I. Arnautov (Kishinev) MSC: 16W80 Topological and ordered rings and modules 16B50 Category-theoretic methods and results in associative algebras (except as in 16D90) 16Nxx Radicals and radical properties of associative rings Keywords:Kurosh-Amitsur radical; categories of topological rings; radicals of topological rings; semisimple classes PDFBibTeX XMLCite \textit{L. Márki} et al., Acta Sci. Math. 51, No. 1--2, 145--151 (1987; Zbl 0645.16027)