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Representation of Rings by Sections.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1968Copyright date: ©1968Edition: 1st edDescription: 1 online resource (194 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470400323
Subject(s): Genre/Form: Additional physical formats: Print version:: Representation of Rings by SectionsLOC classification:
  • QA247.D38 1968
Online resources:
Contents:
Intro -- 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.
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Intro -- 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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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