#1

Let R be a ring where .

If (i) R is commutative and (ii) 1+1 and 1+1+1 have inverse in R (1 is unity in R), show that |R|=1.

#2

is the set of all polynomials whose the sum of even degree coefficients is 0 and the sum of odd degree coefficients is 0.

True/False? Explain it!

Thanks for your help