Given any non-empty systems of sets S, there is a unique ring P containing S and contained in every ring containing S.
Questio:n what does mean by "there is a unique ring P containing S", does it mean that P is in S ?

Question

Given any non-empty systems of sets S, there is a unique ring P containing S and contained in every ring containing S.
Questio:n what does mean by "there is a unique ring P containing S", does it mean that P is in S ?

anonymous · Answer

@KingGeorge please help me whenever you are online :|

anonymous · Answer

The ring P is called the minimal ring generated by the system S & can be denoted as R(S).

anonymous · Answer

is P a maximal set of S?

kinggeorge · Answer

Alright, I'm online now. :)

By saying that "there is a unique ring P containing S..." it's saying that there is there is only a single ring P that fits the criteria needed. Also, it means that S is in P.

anonymous · Answer

@KingGeorge  thanks a tonne