Alexander didn’t have generals! He had though an elite band of "etairoi" (Greek meaning "companions") who were called “somatofilakes” (Greek meaning “bodyguards”).
There were 7 “Somatofilakes” and the most famous were:
Seleucus I (surnamed for later generations Nicator, Greek: Σέλευκος Νικάτωρ) (c. 358 BC–281 BC),
Lysimachus (c. 360 BC–281 BC, Greek: Λυσίμαχος)
Cassander (c. 350 - 297 BC; in Greek Κάσσανδρος, Kassandros),
Ptolemy I Soter (367 BC–283 BC, Greek: Πτολεμαίος Σωτήρ)
Parmenion (also Parmenio) (in Greek Παρμενίων, c. 400 BC - Ecbatana, 330 BC)
Craterus (c. 370 BC - 321 BC, Greek: Κρατερός)
Most of them engaged in the war of Diadochoi which break the Greek Empire into 4 smaller hellinistic (greek ) Kingdoms. Although they never reached the power of Alexander they continued his effort of spreading the Greek language and Greek culture.
{Do not confuse the ancient Greek kingdom of Macedonia or Macedon with the modern state of Makedonija (or FYROM or Slav Macedonia as they are not related at all). The confusion has started a few years ago because that small state started to use the name “Republic of Macedonia” causing a great confusion with real Macedonia in Greece.}