principalization

noun

A situation when, given an extension of algebraic number fields, some ideal (or more generally fractional ideal) of the ring of integers of the smaller field isn't principal but its extension to the ring of integers of the larger field is.

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Meanings

nounprincipalization (countable and uncountable, plural principalizations)

plural principalizations

  1. countableuncountableA situation when, given an extension of algebraic number fields, some ideal (or more generally fractional ideal) of the ring of integers of the smaller field isn't principal but its extension to the ring of integers of the larger field is.
Cite this entry
APA

principalization. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/principalization

MLA

“principalization.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/principalization. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “principalization,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/principalization.

Source: principalization on Wiktionary, CC BY-SA 4.0.