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Show that the closure with respect to the property P of
the relation R = {(0, 0), (0, 1), (1, 1), (2, 2)} on the set
{0, 1, 2} does not exist if P is the property
a) “is not reflexive.”
b) “has an odd number of elements.”

I got the first part, since the relation already is reflexive we can't find a closure for "is not reflexive", but what is meant by closure in the 2nd part?
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ram_18051996 asked Jul 5, 2017
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R is a relation on the set of all functions from Z to Z.R = { (f, g) | for some C ∈ Z , for all x ∈ Z , f(x) - g(x) = C } is it Equivalence relation or not ?