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

D.R
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    the ring of integers can also be characterized as the maximal Order of the field $K$ – J. W. Tanner Mar 21 '22 at 02:21
  • @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 – D.R Mar 21 '22 at 17:20
  • click on the word Order in my comment above to see the ring theory sense of the word – J. W. Tanner Mar 21 '22 at 18:16
  • 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). – KCd Mar 22 '22 at 02:04
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    This has been answered already: https://hsm.stackexchange.com/questions/2922/who-first-introduced-the-notation-mathcalo-in-algebraic-geometry-or-algebra – KCd Mar 22 '22 at 02:06

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