On normed rings with monotone multiplication
On normed rings with monotone multiplication
It is shown that if a normed division ring has a norm which is multiplicati on in the sense that N(x) 0 for x φ 0, (ii) N(-x) = N(x) for all x, (iii) N(x + y) ^ N(x) + N(y) for all x and y, (iv) N(xy) < N(x)N(y) …