Boolean Ring8

In a Boolean ring, all finitely generated ideals are principal
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.4 Exercise 7.4.24 Solution:...
Every prime ideal in a Boolean ring is maximal
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.4 Exercise 7.4.23 Solution:...
Every nonzero Boolean ring has characteristic 2
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.3 Exercise 7.3.27 Solution:...
The Boolean ring of subsets is isomorphic to the ring of characteristic functions
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.3 Exercise 7.3.15 Solution:...
Infinite Boolean rings exist
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.1 Exercise 7.1.22 Give an e...
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 $X$ b...
The only Boolean integral domain is Z/(2)
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.1 Exercise 7.1.16 Prove tha...
Every Boolean ring is commutative
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.1 Exercise 7.1.15 A ring $R...