Namespaces
Variants
Actions

Reflexivity

From Encyclopedia of Mathematics
Jump to: navigation, search

A property of binary relations. A binary relation $R$ on a set $A$ is called reflexive if $aRa$ for all $a\in A$. Examples of reflexive relations are equality (cf Equality axioms), equivalence relations, order.

References

[a1] R. Fraïssé, Theory of Relations, Studies in Logic and the Foundations of Mathematics, Elsevier (2011) ISBN 0080960413
[a2] P. R. Halmos, Naive Set Theory, Springer (1960) ISBN 0-387-90092-6
How to Cite This Entry:
Reflexivity. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Reflexivity&oldid=33961
This article was adapted from an original article by T.S. Fofanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article