additive identity

noun

An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure.

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Meanings

nounadditive identity (plural additive identities)

plural additive identities

  1. algebraAn element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure.

Synonyms & antonyms

Also see
zero

Translations

Danish nulelement
  • nulelementmathematics
Finnish yhteenlaskun neutraalialkio
  • yhteenlaskun neutraalialkiomathematics
German additive Identität
  • additive Identitätmathematics
Hungarian additív egységelem
  • additív egységelemmathematics
Polish element neutralny dodawania
  • element neutralny dodawaniamathematics
Portuguese identidade aditiva, neutro aditivo
  • identidade aditivamathematics
  • neutro aditivomathematics
Swedish additativ identitet
  • additativ identitetmathematics
Thai เอกลักษณ์การบวก
  • เอกลักษณ์การบวกmathematics
Cite this entry
APA

additive identity. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/additive%20identity

MLA

“additive identity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/additive%20identity. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “additive identity,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/additive%20identity.

Source: additive identity on Wiktionary, CC BY-SA 4.0.