Skip to main content

Unique Factorization Domains, Ideals, and Principal Ideal Domains

  • Chapter
Classical Theory of Algebraic Numbers

Part of the book series: Universitext ((UTX))

  • 1780 Accesses

Abstract

Let A be a domain, that is, a commutative ring with unit element (different from 0), having no zero-divisors (except 0). Let K be its field of quotients.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 69.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 119.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media New York

About this chapter

Cite this chapter

Ribenboim, P. (2001). Unique Factorization Domains, Ideals, and Principal Ideal Domains. In: Classical Theory of Algebraic Numbers. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21690-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-0-387-21690-4_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-2870-2

  • Online ISBN: 978-0-387-21690-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics