principal ideal domain

noun

An integral domain in which every ideal is a principal ideal.

Similar
PID
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Meanings

nounprincipal ideal domain (plural principal ideal domains)

plural principal ideal domains

  1. algebraAn integral domain in which every ideal is a principal ideal.

    Synonyms: PID

Synonyms & antonyms

nounAn integral domain in which every ideal is a principal ideal.

Similar
PID
Cite this entry
APA

principal ideal domain. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/principal%20ideal%20domain

MLA

“principal ideal domain.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/principal%20ideal%20domain. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “principal ideal domain,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/principal%20ideal%20domain.

Source: principal ideal domain on Wiktionary, CC BY-SA 4.0.