Representation of rings by sections / by John Dauns, Karl Heinrich Hofmann.

Format:

Book

Author/Creator:

Dauns, John, author.

Hofmann, Karl Heinrich, author.

Series:

Memoirs of the American Mathematical Society ; no. 83.

Memoirs of the American Mathematical Society ; number 83

Language:

English

Subjects (All):

Rings (Algebra).

Physical Description:

1 online resource (194 p.)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, [1968]

Language Note:

English

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: pages 179-180.

Description based on print version record.

ISBN:

1-4704-0032-4