to settle the succession
a dispute about the succession
the heir-at-law
the heir apparent
to inherit a fortune―accede to one's property―come to one's property―(相続が問題になれば)―succeed to one's property―(小父などの財産なら)―come into a fortune―step into a fortune
the legitimate heir
a fee limited to a particular line of heirs
the position of being a predecessor to someone