Let K be a class of associative topological algebras that is closed under subalgebras with
the induced topology, direct products, quotients, and semidirect topological products with …

In this paper, a topological Jacobson radical of rings is introduced. Several properties of this
radical are considered. We investigate the topological Jacobson radical for some …

This research is essentially an investigation into lower radical type construction and the
consequences thereof. Dealing primarily in associative rings, the aim of this thesis is to …

In this dissertation some topological notions are developed that are based on certain
algebraic concepts. Specifically, the notions of nilpotency (in rings and groups), solvability …

In this note we apply the general Kurosh—Amitsur radical theory presented in [5] to
categories of topological rings and deduce characterizations for radical and semisimple …

In this article semisimple classes of topological algebras are characterized in a series of
varieties of rings (in particular, all subvarieties of the varieties of alternative and Jordan …

On the basis of~ UL'GEn~ ER'S work in [13] we say that a category is suitable for radical
theory if it has a zero object, kernels and conormal epimorphic images, if unions of …