A more thorough explanation:

Definition: Caeterorum administration is the management or performance of the executive duties of a government, institution, or business. It is also the practical management and direction of the executive department and its agencies in public law. In legal terms, it refers to the management and settlement of the estate of an intestate decedent or a testator who has no executor, by a person legally appointed and supervised by the court.

Examples: An example of caeterorum administration is the management and distribution of property in a judicial action, such as the administration of a trust, the liquidation of a company, and the realization and distribution of a bankrupt estate. Another example is the management and settlement of the estate of a deceased person, which involves realizing the movable assets, paying out any debts and other claims against the estate, and dividing and distributing what remains.

Explanation: Caeterorum administration is a broad term that encompasses various aspects of management and administration in different contexts. The examples illustrate how it applies to different situations, such as legal proceedings and estate management. In each case, the administrator is responsible for managing and directing the affairs of the organization or estate, ensuring that all legal requirements are met, and that the interests of all parties involved are protected.