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Meaning of antisymmetric relation

Source language: EnglishDictionary language: English

antisymmetric

adjective

Definitions

  1. (of a binary relation R on a set S) Having the property that, for any two distinct elements of S, at least one is not related to the other via R; equivalently, having the property that, for any x, y ∈ S, if both xRy and yRx then x=y.

  2. (of certain mathematical objects) Whose sign changes on the application of a matrix transpose or some generalisation thereof:

Sources:https://en.wiktionary.org/wiki/antisymmetric

Related words

asymmetric relationsymmetric differencerelationequivalence relationcommutative propertypartial orderanticommutative propertyconverse relation