Algebra pp 31-66 | Cite as

Rings: Basic theory

  • L. E. Sigler
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Chapters 2, 3, 4, and 5 compose the part of the book devoted to rings. In Chapter 2 the basic structure of the ring is explored using set theoretic concepts in such a manner that we can stress analogies when developing other algebraic structures. In Chapter 3 we develop the natural number system and the integers, and in Chapter 4 we use the natural number system and the integers in a further study of rings including a development of the rational numbers. Chapter 5 treats the ring of polynomials, some special rings, and factorization, field extensions, and complex numbers.

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Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • L. E. Sigler
    • 1
  1. 1.Department of MathematicsBucknell UniversityLewisburgUSA

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