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Algebra pp 1-22 | Cite as

Introduction

Prerequisites and Preliminaries
  • Thomas W. Hungerford
Part of the Graduate Texts in Mathematics book series (GTM, volume 73)

Abstract

In Sections 1–6 we summarize for the reader’s convenience some basic material with which he is assumed to be thoroughly familiar (with the possible exception of the distinction between sets and proper classes (Section 2), the characterization of the Cartesian product by a universal mapping property (Theorem 5.2) and the Recursion Theorem 6.2). The definition of cardinal number (first part of Section 8) will be used frequently. The Axiom of Choice and its equivalents (Section 7) and cardinal arithmetic (last part of Section 8) may be postponed until this information is actually used. Finally the reader is presumed to have some familiarity with the fields Q, R, and C of rational, real, and complex numbers respectively.

Keywords

Equivalence Class Equivalence Relation Nonempty Subset Maximal Element Cardinal Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 1974

Authors and Affiliations

  • Thomas W. Hungerford
    • 1
  1. 1.Department of MathematicsCleveland State UniversityClevelandUSA

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