mathmajor2013 Messages 26 Reaction score 0 Thread starter Nov 19, 2010 #1 Question: Show that if R is an integral domain then R^x=R[x]^x(or that the units in R[x] are precisely the units in R, but viewed as constant polynomials).
Question: Show that if R is an integral domain then R^x=R[x]^x(or that the units in R[x] are precisely the units in R, but viewed as constant polynomials).
Landau Science Advisor Messages 905 Reaction score 0 Nov 19, 2010 #2 This is pretty straight-forward. What have you tried?
Tom Gilroy Messages 22 Reaction score 0 Nov 19, 2010 #3 Well, what happens when we multiply any non-constant polynomial in R[x] by any non-zero polynomial in R[x]?
Well, what happens when we multiply any non-constant polynomial in R[x] by any non-zero polynomial in R[x]?
mathwonk Science Advisor Homework Helper Messages 12,042 Reaction score 2,342 Nov 19, 2010 #4 could use concept of degree.