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Identity vs Subfield - What's the difference?

identity | subfield |

In context|algebra|lang=en terms the difference between identity and subfield

is that identity is (algebra) an element of an algebraic structure which, when applied to another element under an operation in that structure, yields this, second element while subfield is (algebra) a subring of a field, containing the multiplicative identity and closed under inversion.

As nouns the difference between identity and subfield

is that identity is sameness, identicalness; the quality or fact of (several specified things) being the same while subfield is a smaller, more specialized area of study or occupation within a larger one.

identity

Noun

(identities)
  • Sameness, identicalness; the quality or fact of (several specified things) being the same.
  • * 1997 , Hydrothermal Vent Fauna'', in ''Advances in Marine Biology: The Biogeography of the Oceans , page 111:
  • The difference or character that marks off an individual from the rest of the same kind, selfhood.
  • *
  • A name or persona—the mask or appearance one presents to the world—by which one is known.
  • This criminal has taken on several identities .
  • Sense of who one is.
  • I've been through so many changes, I have no sense of identity .
    This nation has a strong identity .
  • (algebra, computing) Any function which maps all elements of its domain to themselves.
  • (algebra) An element of an algebraic structure which, when applied to another element under an operation in that structure, yields this, second element.
  • Synonyms

    * selfhood * identity function

    Derived terms

    * additive identity * identity card * identity of indiscernibles * identity theft * law of identity * left identity * mistaken identity * multiplicative identity * personal identity * quasiidentity * right identity

    subfield

    English

    Noun

    (en noun)
  • A smaller, more specialized area of study or occupation within a larger one
  • (algebra) A subring of a field, containing the multiplicative identity and closed under inversion.