Section 44-7A-3 - When the uniform arbitration applies(a) The Uniform Arbitration Act [44-7A-1 NMSA 1978] governs an agreement to arbitrate made on or after the effective date of that act. (b) The Uniform Arbitration Act governs an agreement to arbitrate made before the effective date of that act if all the parties to the agreement or to the arbitration proceeding so agree in a record.