Why/when was the curly-O notation chosen for the ring of integers of an algebraic number field $K$?

  • 2
    $\begingroup$ the ring of integers can also be characterized as the maximal Order of the field $K$ $\endgroup$ Commented Mar 21, 2022 at 2:21
  • $\begingroup$ @J.W.Tanner why is it called order? I only know the analytic sense of the word (less than, greater than) and like the size of a group or subgroup generated by an element; this seems to fit neither $\endgroup$
    – D.R
    Commented Mar 21, 2022 at 17:20
  • $\begingroup$ click on the word Order in my comment above to see the ring theory sense of the word $\endgroup$ Commented Mar 21, 2022 at 18:16
  • $\begingroup$ The term order comes from the biological classification system, which also includes other terms adopted by mathematicians: class, family, and genus (and species in combinatorics). $\endgroup$
    – KCd
    Commented Mar 22, 2022 at 2:04
  • 3
    $\begingroup$ This has been answered already: hsm.stackexchange.com/questions/2922/… $\endgroup$
    – KCd
    Commented Mar 22, 2022 at 2:06


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