principalization

Fetched 2026-10-26 (cache).

Datamuse reports no synonyms or antonyms for this word.

Noun

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

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