(a) Except as provided in Section 19303, after the death of the settlor all money judgments against the deceased settlor on a claim against the deceased settlor or against the trustee on a claim against the decedent or the trust estate are payable in the course of administration and are not enforceable against property in the trust estate of the deceased settlor under the Enforcement of Judgments Law (Title 9 (commencing with Section 680.010) of Part 2 of the Code of Civil Procedure).
(b) Subject to Section 19301, a judgment referred to in subdivision (a) shall be filed in the same manner as other claims.