tenement

noun3

1. •
   A building that is rented to multiple tenants, especially a low-rent, run-down one.

   • He turned into Cumberland street and, going on some paces, halted in the lee of the station wall. No-one. Meade’s timberyard. Piled balks. Ruins and tenements. — 1922
2. •
   (figurative) A dwelling; abode; habitation.

   • Who has informed us that a rational soul can inhabit no tenement, unless it has just such a sort of frontispiece? — 1689
3. •
   Any form of property that is held by one person from another, rather than being owned.

   • The island of Brecqhou is a tenement of Sark.