This text brings the reader to the frontiers of current research in
topological rings. The exercises illustrate many results and
theorems while a comprehensive bibliography is also included.
The book is aimed at those readers acquainted with some very
basic point-set topology and algebra, as normally presented in
semester courses at the beginning graduate level or even at the
advanced undergraduate level. Familiarity with Hausdorff, metric,
compact and locally compact spaces and basic properties of
continuous functions, also with groups, rings, fields, vector
spaces and modules, and with Zorn's Lemma, is also expected.
General
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