Inheritance is the practice of passing on property, titles, debts, and duties when someone dies. Those things usually go to family members. Inheritance has been very important in human society for a long time.
If only sons and other male family members get the inheritance, it is called patrilineal succession. If only daughters and other female family members get the inheritance, it is called matrilineal succession.
The person who gets the property and other things when someone dies is called the heir (male) or heiress (female).
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From William Hogarth's A Rake's Progress. "The Young Heir Takes Possession Of The Miser's Effects".
Inheritance Facts for Kids. Kiddle Encyclopedia.