- #1
missavvy
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Homework Statement
Determine the nilpotent, idempotents and units in
a) F[x]/<x2-x>
b) F[x]/<x2>
Homework Equations
The Attempt at a Solution
How do I do this without a specified Field?
For a) the elements in R would be {a+bx: a,b are in F; x2=x}
b) {a+bx: a,b in F; x2 =0}
I know what it means to be idempotent, nilpotent and a unit, I just don't understand how I can pin point exact elements without knowing the field.