I should add some content about what subgroups/normal subgroups/subrings/ideals look like in quotients. This might require the last part of the 4th Isomorphism Theorem.
One place this is helpful is in proving that M is maximal ideal if and only if R/M is a field.
I should add some content about what subgroups/normal subgroups/subrings/ideals look like in quotients. This might require the last part of the 4th Isomorphism Theorem.
One place this is helpful is in proving that M is maximal ideal if and only if R/M is a field.