reflexive properties?

Question

Can someone explain reflexive properties to me for Bastract Algebra? For instance if A = {1, 2, 3} what are the reflexive ordered pairs?

Answer 1

A binary relation R is reflexive if for all x in A, (x, x) is in R.
So if your A = {1, 2, 3}, then R is reflexive when (1,1), (2,2), and (3,3) are elements of R.

These (1,1), (2,2), and (3,3) are called the reflexive ordered pairs.

For more detail on this and the notions of symmetry and transitivity, see the link in my source section.