The property set apart as a probate homestead shall be set apart only for a limited period, to be designated in the order, and in no case beyond the lifetime of the surviving spouse, or, as to a child, beyond its minority. Subject to the probate homestead right, the property of the decedent remains subject to administration including testate and intestate succession. The rights of the parties during the period for which the probate homestead is set apart are governed, to the extent applicable, by the Legal Estates Principal and Income Law, Chapter 2.6 (commencing with Section 731) of Title 2 of Part 1 of Division 2 of the Civil Code.