Need help understanding reflexive properties of Abstract algebra. If A = {1, 2, 3} what are its reflexive properties?
Given a set and a relation on a reflexsive property is defined as if then, . Now the meaning of is .
The reflexive property appears in two specific types of relations. An equivalence relation used a lot in abstract algebra and partial ordering relation a favorite in set theory.
I cannot answer thy question for thee has not defined a relation of
The relation is called the diagonal relation. Any relation that contains the diagonal is a reflexive relation. Now there are 6 off-diagonal pairs in AxA. Thus, there are subsets of the off-diagonal pairs. Unite each of those with the diagonal to get a reflexive relation on A. That is, there are reflexive relations on A.