If B is a Boolean ring is of uncountable cardinality c, does B have 2^c distinct maximal ideals ?
Can you please give me a reference where this question is answered (hopefully) positively ? Thanks



Cardinality of the set of maximal ideals in a Boolean ring/algebra
This particular question is easy to answer. Many related questions about the relationships between various cardinals associated with Boolean algebra (or Boolean rings), such as: cardinality, number of ultrafilters, density, cellularity, distributivity etc, can be found in 


* Monk, J. Donald: *Cardinal invariants on Boolean algebras.*
Progress in Mathematics, 142. Birkhäuser Verlag, Basel, 1996. 3-7643-5402-X. MR1393943


