Zm Set: Whole Numbers & Positive Integer

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SUMMARY

The discussion clarifies that the notation Z_m represents a set of whole numbers defined as Z_m = {0, 1, 2, ..., m-1}, where m is a positive integer. This set includes elements from 0 to m-1 and operates under addition and multiplication defined modulo m. Examples provided include Z_2 = {0, 1}, Z_3 = {0, 1, 2}, and Z_4 = {0, 1, 2, 3}. Additionally, the discussion warns that this notation can be ambiguous, as it may also refer to m-adic integers.

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:smile: 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 a lot.
 
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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:
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.
 

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