IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-032-10000-9_8.html

Factorization in Rings

In: Numbers from all Angles

Author

Listed:
  • J. J. P. Veerman

    (Portland State University)

Abstract

We now get back to factorization. It is instructive to go back to the discussion of the proof of unique factorization in $$\mathbb {Z}$$Z (Sect. 2.3 ) at this point. Our familiarity with $$\mathbb {Z}$$Z may hide underlying structures from us. To circumvent this familiarity, we study factorization in more general rings. Perhaps unexpectedly, at this level of generality, pretty much anything can happen, as we show in the first section below. For example, primes and irreducibles may not be the same.

Suggested Citation

  • J. J. P. Veerman, 2026. "Factorization in Rings," Springer Books, in: Numbers from all Angles, chapter 0, pages 147-170, Springer.
    • Handle: RePEc:spr:sprchp:978-3-032-10000-9_8
    DOI: 10.1007/978-3-032-10000-9_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-032-10000-9_8. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.