Question: With reference to Exercise 12, describe the ring Q(3Z, {6 n |n Z+}) by describing a subring of R to which it is isomorphic.

With reference to Exercise 12, describe the ring Q(3Z, {6n |n ∈ Z+}) by describing a subring of R to which it is isomorphic. 

Data from Exercise 12

Let R be a nonzero commutative ring, and let T be a nonempty subset of R closed under multiplication and containing neither 0 nor divisors of 0. Starting with R x T and otherwise exactly following the construction in this section, we can show that the ring R can be enlarged to a partial ring of quotients Q(R, T). Think about this for 15 minutes or so; look back over the construction and see why things still work. 

Step by Step Solution

3.41 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

It is isomorphic to the ring of all rational ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related A First Course In Abstract Algebra Questions!