Transfinite arithmetic --- Introduction ---

This is an exercise as well as a game. Let a set

E

k

elements in the finite ring

ℤ / n ℤ

, represented by

k

integers between 0 and

n - 1

. For any element

t \in ℤ / n ℤ

, the addition or multiplication by

t

transforms

E

into another set

E_{t} \subset ℤ / n ℤ

Thus the exercise generates two sets $E$ , $F \subset ℤ / n ℤ$ , of the same number of elements, and asks you to transform $E$ into $F$ by successive additions and multiplications by elements of $ℤ / n ℤ$ . And you will be scored according to the number of steps you make.

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Description: transformation in Z/nZ by addition and multiplication. This is the main site of WIMS (WWW Interactive Multipurpose Server): interactive exercises, online calculators and plotters, mathematical recreation and games
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