- #1
playa007
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Homework Statement
If S = {s in R such that s=/=1} is an abelian group under circle operation (Circle Operation a*b = a + b -ab for a, b in R) then R is a field
Homework Equations
The verification of the field axioms
The Attempt at a Solution
The field axiom that I'm struggling to verify is the existence of the identity for the multiplicative operation since s=/=1. I'm wondering if someone can help me resolve this.
Thanks