reflexive relation

(redirected from Antireflexive)

reflexive relation

[ri′flek·siv ri‚lā·shən]
(mathematics)
A relation among the elements of a set such that every element stands in that relation to itself.
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Trace monoids (also called heaps of pieces monoids, Cartier-Foata monoids or free partially commutative monoids) are defined by the presentation M = <S | ab = ba if (a, b) [member of] I>, where S is a finite set of generators and I is a symmetric and antireflexive relation on S x S called the commutation relation.
possibly annotated by some subscript) to refer to strict partial orders (antisymmetric, antireflexive, and transitive binary relations) and [predecessor of equal to] and ?
The crowd is represented essentially, in an antireflexive movement, and what lends ultimate reality to these figures in the metro is the fact that they are figures of movement.