Reflexive Reduction (original) (raw)
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Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology
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The reflexive reduction of a binary relation 
on a set 
is the minimum relation 
on 
with the same reflexive closure as 
. Thus 
for any elements 
and 
of 
, provided that 
and 
are distinct and 
.
See also
Reflexive Closure, Relation,Transitive Reduction
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Cite this as:
Weisstein, Eric W. "Reflexive Reduction." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ReflexiveReduction.html