All property owners are required by law to maintain their rental properties in reasonably safe conditions. Exactly how much a landlord is required to do will depend on the visitor. Visitors to a property are invitees, licensees, or trespassers. Invitees of course are entitled to the greatest duty of care as they have been invited onto a property as renters.
A licensee is still owed a duty of care, but not as much as an invitee is. A licensee enters a property for their own reasons, such as a utility worker, but nevertheless has permission to be there. A trespasser has no reason or right to be on a property and is owed no duty of care whatsoever, unless he or she is a child.
A tenant is generally thought of as an invitee. A landlord owes their renters the highest duty of care. This means regularly checking their property for obvious and not so obvious dangers, repairing damage as it occurs, and if necessary, posting adequate signage to warn residents about any potential hazards. Furthermore, a landlord must address slip and fall risks, damaged structures, security, and more.
In essence, a property owner who fails to fulfill their duty of care to a renter -- and this negligence causes harm or death -- may be held liable for any losses sustained.