Types of relation of a set
A relation on a set is called
and ; for
A relation is called an equivalence relation on if it is
(i) reflexive, (ii) symmetric, (iii) transitive
It is symbolically represents ‘‘.
Congruence Modulo Relation on Integers:
Let and be a fixed integer. We say that ‘ is congruent to modulo ‘ and written as divides .
In this case is of the form for some .