Hello friends. I am having trouble interpreting what the following question is asking.
I can show that if a ring of sets contains then it is a Boolean algebra of sets, and it is trivially true that every Boolean algebra of sets is a ring of sets. So is that all I have to do?Quote:
Assuming that the universal set is non-empty, show that a Boolean algebra of sets can be described as a ring of sets which contain .
P.S. A Boolean algebra of sets is a class of sets that is closed under intersection, union, and complementation.
A ring of sets is a set that is closed under intersection and symmetric difference.