What term describes the rights that run with real property ownership?

The term that describes the rights that run with real property ownership is appurtenances. Appurtenances are rights, privileges, or improvements that are associated with a piece of real property and typically transfer with the property when it is sold or otherwise conveyed. This can include access rights, easements, or even the right to use certain communal areas. Understanding appurtenances is crucial in real estate transactions, as they can significantly affect the value and usability of the property.

In contrast, assignments refer to the transfer of a party's interest or benefits under a contract, which does not inherently relate to the rights tied to the property itself. Assets generally refer to any valuables owned by an individual or entity and are not specific to the rights associated with real estate. Assessments typically pertain to the evaluation of property for tax purposes, rather than the rights that accompany ownership. Hence, appurtenances are the most accurate term to describe those rights tied to ownership of real property.