Rafael, I should have included a little more information with my post. I Kings 15:29 says about
Baasha who seceded Jeroboam's son Nadab: "he left not to Jeroboam any that breathed, until he had destroyed him, according to the saying of the Lord, which He spake by his servant Ahijah the Shilonite." Jeroboam's bloodline was erased from history. It is impossible that Ahab could be his offspring. We could honestly say that Ahab was a successor of Jeroboam in the line of the kings of Israel, but not his offspring. I Kings 16:16 says that Omri was captain over the army of Israel during Baasha's reign, nothing is said about Omri's genealogy, but it could not have been through Jeroboam. It would be hard to believe that Baasha would destroy Jeroboam's offspring and keep one to be the head of the army.
Best Regards..