The Dukedom of Primo de Rivera (Spanish: "Ducado de Primo de Rivera" ) is a hereditary title in the Spanish nobility. The dukedom was posthumously bestowed on Jose Antonio Primo de Rivera, founder of the Falangist movement, by General Francisco Franco as head of the Spanish state.

Based on the paragraph above can we conclude that " The dukedom was bestowed on Jose Antonio Primo de Rivera's children."?
It's impossible to say