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Topological rings [electronic resource] / Seth Warner.

By: Warner, Seth, 1927-Material type: TextTextSeries: North-Holland mathematics studies ; 178.Publication details: Amsterdam ; New York : North-Holland, 1993. Description: 1 online resource (x, 498 p.)ISBN: 9780444894465; 0444894462Subject(s): Topological rings | Topologie | Ringen (wiskunde) | Anneaux topologiques | Topological ringsGenre/Form: Electronic books.Additional physical formats: Print version:: Topological rings.DDC classification: 512/.4 LOC classification: QA251.5 | .W36 1993ebOnline resources: ScienceDirect | Volltext Summary: 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.
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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.

Includes bibliographical references (p. 440-486) and indexes.

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