All entries and rights of entry are valid and survive when a horse is sold with his engagements duly transferred. If a partnership agreement is properly filed with the paymaster of purses, subscriptions, entries and rights of entry survive in the remaining partners. Unless written notice to the contrary is filed with the stewards, the entries, rights of entry, and engagements remain with the horse and are transferred therewith to the new owner. No entry or right of entry shall become void on the death of the nominator unless the conditions of the race state otherwise.