Title: Topological Rings Satisfying Compactness Conditions
Description: The main aim of this text is to introduce the beginner to the theory of topological rings. Whilst covering all the essential theory of topological groups, the text focuses on locally compact, compact, linearly compact, hereditarily linear compact and bounded topological rings. The text also contains new, unpublished results on topological rings, for example the nilideals of topological rings, trivial extensions of special type, rings with a unique compact topology, compact right topological rings and the results from groups of units of topological rings.
Subjects: Group theory, Mathematics, Algebra, Topological Groups, Algebraic topology, Associative Rings and Algebras, Lie Groups Topological Groups, Group Theory and Generalizations, Non-associative Rings and Algebras