SOLUTION: Is there a set of expressions that is closed under all four operations?

Algebra.Com
Question 1020422: Is there a set of expressions that is closed under all four operations?
Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
The set of all rational functions of the form ,
where p(x) and (q(x) are polynomials.


RELATED QUESTIONS

What operations is the set of irrational numbers closed... (answered by ikleyn)
under which operations is the set(1,2,3,....)... (answered by Edwin McCravy)
Which operations is the following set closed under: {2, 4, 6, ...}? (answered by ikleyn)
Which operations is the following set closed under: {... , -3, -1, 1, 3, ...}? (answered by Edwin McCravy)
which operations is the following set closed under 2,4 or 6? (answered by ikleyn)
is the set of irrational numbers closed under... (answered by jim_thompson5910)
is the set of irrational numbers closed under... (answered by Edwin McCravy)
is the set of real numbers closed under addition (answered by oscargut)
Is the set {-1,0,1} closed under... (answered by KMST)