Crossword Genius

His home, with King and Duke, possibly a hereditary state (9)

Ross

I believe the answer is:

sheikhdom

I'm a little stuck... Click here to teach me more about this clue!

'a hereditary state' is the definition.
The answer and definition can be both locations as well as being singular nouns.
Maybe there's a link between them I don't understand?

'his home with king and duke possibly' is the wordplay.
'with' is a charade indicator (letters next to each other).
'king' becomes 'K' (chess abbreviation).
'and' says to put letters next to each other.
'duke' becomes 'd' (abbreviation).
'possibly' indicates an anagram.
'his'+'home'+'k'+'d'='hishomekd'
'hishomekd' anagrammed gives 'SHEIKHDOM'.

Can you help me to learn more?

(Other definitions for sheikhdom that I've seen before include "Qatar perhaps" , "Arab chief's territory" , "Muslim leader in his territory" .)

I've seen this clue in The Independent.
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