Infinite Boolean rings exist
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.1 Exercise 7.1.22 Give an example of an infinite boolean ring. Solution: If $X$ is an infinite set, then…
The powerset of a set is a Boolean ring under intersection and symmetric difference
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.1 Exercise 7.1.21 Let $X$ be a nonempty set and let $R = \mathcal{P}(X)$ denote the power set of…