According to legend, the mountain Alburi Lam was named after its owner Alburi. Tradition says that a hired shepherd grazed cattle belonging Alburi when hired shepherd died. Alburi sent a tombstone in the village Almak, where he was born shepherd - Alburi are from the Chechen Akkoy (chech. Ӏаккой) teip (clan). He also owned the hamlet Alburi-Otar, which was located south of the village Aukh Shircha-Evla.