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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer Science+Business Media New York
About this chapter
Cite this chapter
Sigler, L.E. (1976). Rings: Basic theory. In: Algebra. Undergraduate Texts in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-26738-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-26738-7_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-90195-2
Online ISBN: 978-3-662-26738-7
eBook Packages: Springer Book Archive