antisymmetric relation


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antisymmetric relation

[‚ant·i·si¦me·trik ri′lā·shən]
(mathematics)
A relation, which may be denoted ∈, among the elements of a set such that if ab and ba then a = b.
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All I will say is that an orthomodular lattice is a special sort of partially ordered set, where a partially ordered set is an ordered pair <A, [less than or equal to] >, where A is a non-empty set and [less than or equal to] is a reflexive, transitive, antisymmetric relation defined on A.
2] be two antisymmetric relations on A such that a [less than or equal to] [sub.

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