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Book Cover
E-book
Author Dauns, John, author

Title Representation of rings by sections / by John Dauns, Karl Heinrich Hofmann
Published Providence : American Mathematical Society, [1968]
©1968

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Description 1 online resource (194 pages)
Series Memoirs of the American Mathematical Society ; number 83
Memoirs of the American Mathematical Society ; no. 83.
Contents Table of Contents -- Chapter I. Fields of Uniform Spaces -- 1. Elementary Properties of Fields of Spaces -- 2. Existence of Fields of Uniform Spaces -- 3. Modifications of the Base Space in a Field -- 4. Infective Change of Base Space -- Chapter II. Fields of Algebraic Structures -- 1. Fields of Topological Groups -- 2. Uniform Fields of Abelian Groups and Multilinearity -- 3. Partitions of Unity -- Chapter III. Topological Algebras -- 1. Topologies on Spaces of Ideals -- 2. Partitions of Identity for Rings -- 3. The Complete Regularization of a Topological Space
4. The Field Obtained by the Complete Regularization of the Hull-Kernel Topology -- 5. Representations of Algebras -- 6. The Primitive Ideal Space of the Centroid -- 7. Representations of the Centers of Algebras -- 8. C*-Algebras -- 9. Examples -- 10. Representations of Function Rings -- Chapter IV. Weakly Biregular Rings -- 1. Spaces of Prime Ideals -- 2. General Methods of Representation of Rings as Sections in a Sheaf -- 3. Representation of Weakly Biregular Rings -- 4. The Ideal Structure of the Ring of Generalized Left Translations -- List of Special Symbols -- Index of Terminology -- A -- B
C -- D -- E -- F -- G -- H -- K -- L -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z -- Biblography
Notes Cover title
Bibliography Includes bibliographical references (pages 179-180)
Notes English
Print version record
Subject Rings (Algebra)
Rings (Algebra)
Form Electronic book
Author Hofmann, Karl Heinrich, author
ISBN 9781470400323
1470400324