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Yes, as you are a permanent resident until it is revoked or relinquished. I would travel with that and other evidence of your ties to the US. Have you been outside the US for more than 6 months?
And if you anticipate extended travel outside the US, apply for a re-entry permit while you are physically present in the US. remember, you must be here for the biometrics as well, usually 30-45 days after filing. good luck.