Many proofs in Pinter rely on a specific "trick" (like multiplying by an inverse or choosing the right mapping). Read just the first step of the solution, then close it and try to finish the proof yourself.
Let $$G$$ be a group with respect to the operation $$*$$. Prove that the identity element $$e$$ of $$G$$ is unique.
Many proofs in Pinter rely on a specific "trick" (like multiplying by an inverse or choosing the right mapping). Read just the first step of the solution, then close it and try to finish the proof yourself.
Let $$G$$ be a group with respect to the operation $$*$$. Prove that the identity element $$e$$ of $$G$$ is unique. pinter abstract algebra solutions