Polynomial Rings Part 3

In this video we define formal polynomials and construct the ring of polynomials over a ring R.

[rookitchen]

4 additions - addition as a symbol, addition defined in the polynomial ring, addition defined in the ring, and addition in the integers (for computation of exponents)

[debendragurung]

15:25 I cant get through that expression. how does the coeffecients 'a' goes from 0 ---- n. when clearly cofficients on 'a' goes from 0 --- i and that on 'b' goes from 0 ---- j. The product of the two polynomail Rings does go from 0 ---- n or (i +j), that I understand.

[bonbonpony]

IT'S JUST A SYMBOL! Except not it's not just a symbol anymore :q Got it? :P