If someone dies intestate, they have died without leaving instructions about who should receive their property. (Cambridge Dictionary)
Having made no valid will. (Merriam – Webster)
Not disposed of by will. (Merriam – Webster)
A person who dies without having made a will. (Collins Dictionary)
Not having made a will before one dies. (Oxford Dictionaries)
Intestate and Unrepresented. Thesaurus. Plus.
Who can inherit if there is no will – the rules of intestacy.