The superior alveolar artery does not exist.

Rather, the posterior superior alveolar artery

Posterior superior alveolar artery

The posterior superior alveolar artery is given off from the maxillary, frequently in conjunction with the infraorbital artery just as the trunk of the vessel is passing into the pterygopalatine fossa.-Branches:...

 is a branch of the maxillary artery that serves the upper teeth and other related structures.

The anterior superior alveolar arteries

Anterior superior alveolar arteries

The anterior superior alveolar arteries originate from the infraorbital artery; they supply the upper incisors and canines; they also supply the mucous membrane of the maxillary sinus.-See also:* Posterior superior alveolar artery...

 are branches of the infraorbital artery

Infraorbital artery

The infraorbital artery is an artery in the head that runs in the maxilla, emerging through the infraorbital foramen, just under the orbit of the eye.-Course:...

, also supplying the upper teeth and related structures.

If a middle superior alveolar artery is present, it also arises as a branch of the infraorbital artery

Infraorbital artery

The infraorbital artery is an artery in the head that runs in the maxilla, emerging through the infraorbital foramen, just under the orbit of the eye.-Course:...

.