There is created a nonprofit unincorporated legal entity to be known as the “Rhode Island Property & Casualty Insurance Guaranty Association,” such entity formerly known as the “Rhode Island insurers’ insolvency fund.” All insurers defined as member insurers in § 27-34-5 shall be and remain members of the association as a condition of their authority to transact insurance in this state. The association shall perform its functions under a plan of operation established and approved under § 27-34-9 and shall exercise its powers through a board of directors established under § 27-34-7. For the purposes of administration and assessment, there shall be three (3) separate accounts: (1) The workers’ compensation insurance account; (2) The automobile insurance account; and (3) The account for all other insurance to which this chapter applies.