The difference between Additive identity and Identity element

When used as nouns, additive identity means 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, whereas identity element means an element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element.

check bellow for the other definitions of Additive identity and Identity element

  1. Additive identity as a noun (algebra):

    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.

  1. Identity element as a noun (algebra):

    An element of an algebraic structure which when applied, in either order, to any other element via a binary operation yields the other element.

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