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Of y and g is the sum of the remaining polynomials (ie those of the form xkyl with both kl 0) deﬁne : k[xy] → k[x]×k[y] by (f) = (c + p1(x)c + q1(y)) (so, essentially, 1 → (11), x → (x0),y → (0y) plus k-linearity) by deﬁnition preserves 1 and commutes with addition we check that it commutes with/preserves multiplication so let f be as above and let f. Free coursework coursework i - j search our free coursework and resources free coursework our free coursework has been donated by students all over the world to.
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