A Rudimentary Question

1. Jan 18, 2007

u0602647

hey, anyone knows what kind of set the following symbol represents?

Zm (Z with subscription m, where Z is the set of whole numbers and m a positive integer).

thanks alot.

2. Jan 18, 2007

murshid_islam

$$Z_m = \{0, 1, 2, \ldots, m-1\}$$

for example,
$$Z_2 = \{0, 1\}$$
$$Z_3 = \{0, 1, 2\}$$
$$Z_4 = \{0, 1, 2, 3\}$$

Last edited: Jan 18, 2007
3. Jan 18, 2007

matt grime

With addition and multiplication defined mod m (Z_m is not just a set).

Warning: notation is ambiguous. I have also seen this used to mean the m-adic integers.