The Seljuq (Sallajqah, Alsljuq), were dynasties that existed in the fifth to sixth centuries A.H (1037-1194 B.C) that ruled the large parts of Western Asia and Minor Asia, such as Iran, Rome, Afghanistan, Damascus, Armenia, Arabian and Turkish areas, and other large areas, and their western capital was the city of Hamedan. The Alevian dome is one of the memorials of the late Seljuq period in the 6th century AH, which was built by the Alevian dynasty first as a mosque, and in subsequent periods,  it was transformed into a tomb of that family by creating a chapel in the basement. Khaghani (the poet of Iran) calls it the green dome, and the culture of Hamedan people implies that:

The reason of naming Alevian dome is that, late in the past, it had a dome; although, over the time, its dome collapsed. This dome has always been a particular interest of researchers for various reasons, including its unique body features, its elegance and unique decorations. The plan of the building is quadrangle and its corners have their own edges of star shapes. This is one of the masterpieces of architecture and glamor after Islam in Hamadan. It was registered on the national monuments list No. 94 of 15/10/1310 as ones of Hamadan.