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The rule is that if you have not retired from the base period job, you can still apply for and be eligible for unemployment benefits. So as long as you are not receiving your retirement from the base employer, the construction company, you still qualify for unemployment and you do not claim any retirement since you are not receiving that from the construction company it is from other employment that you are not claiming unemployment from. IA says for retirement to disqualify you, it has to be "employer based retirement," and the retirement you are receiving is not from the employer you are claiming unemployment from.