Nearrings : geneses and applications /

Nearrings : geneses and applications /

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Bibliographic Details
Author / Creator:	Clay, James R.
Imprint:	Oxford ; New York : Oxford University Press, 1992.
Description:	x, 469 p. ; 24 cm.
Language:	English
Subject:	Near-rings Near-rings.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/1389518

Hidden Bibliographic Details
ISBN:	0198533985
Notes:	Includes bibliographical references and index.

Table of Contents:

Chapter 1. Introduction to Nearrings
1.1. Getting Acquainted
1.2. Lots of Examples
1.3. Many Cheerful Facts about Nearrings
Chapter 2. Planar Nearrings
2.1. Planarity for Nearrings
2.2. Construction of Circular Planar Nearrings
2.3. Geometry of Circular Planar Nearrings
2.4. Other Geometric Structures from Planar Nearrings
2.5. Coding, Cryptography, and Combinatorics
2.6. Sharply Transitive Groups and Nondesarguesian
Chapter 3. The Great Unifier
3.1. A Little Category Theory
3.2. Group and Cogroup Objects
3.4. Examples
Chapter 4. Some First Families of Nearrings and Some of Their Ideals
4.1. First. What is a Nearring Module?
4.2. Centralizer and Transformation Nearrings
4.3. Distributively Generated Nearrings
4.4. The Ideals of Abstract Affine Nearrings
4.5. Polynomial Nearrings
4.6. Power Series Nearrings
Chapter 5. Some Structure of Groups of Units
5.1. Preliminaries
5.2. Direct Products in Groups of Units
5.3. Semidirect Products and Wreath Products
5.4. Group Extensions with Factor Sets
5.5. A Mixture of the Above
Chapter 6. Avant-garde Families of Nearrings
6.1. Sandwich and Laminated Nearrings
6.2. Syntactic Nearrings
6.3. The Cornucopia
Appendix. Various Diagrams
List of Symbols
Bibliography
Index