Ptolemy did not inherit a specific territory after Alexander the Great's death. Instead, he carved out his own kingdom through military prowess and political maneuvering.

Here's a breakdown:

* The Diadochi Wars: Following Alexander's death in 323 BC, his vast empire was divided amongst his generals, known as the Diadochi. Ptolemy was one of these generals.

* Egypt as a Prize: Ptolemy's focus was on Egypt. He skillfully navigated the complex power struggles and managed to secure control of this strategically important region.

* Building the Ptolemaic Kingdom: Ptolemy I Soter (meaning "Savior") established the Ptolemaic Kingdom in 305 BC. This kingdom grew to encompass not just Egypt, but also Cyprus, parts of the Levant, and regions in the Aegean.

Therefore, Ptolemy didn't inherit a specific territory after Alexander's death, but rather built his own kingdom through his own actions.