Abstract algebra: define constants in a finite field

How can I to define a constant in $Z_{2}$?

For example, I want to create a constant b that inherits the properties of an element from $Z_{2}$. For example

b + b = 0
b^n = b

Answer

Your question focuses on the wrong aspect of finite fields. It's not the numbers 0 and 1 that change because you are working with $Z_2$, it's the arithmetic operators. You could define your own operators plusZ2 and TimesZ2.

An alternative is to load the finite fields package with Needs[FiniteFields`], which overloads the relevant arithmetic operators for you.

Comments

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