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A note on radical and semisimple classes of topological rings. (English) Zbl 0645.16027

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.

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
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