name a few rulers of this kingdom.
Bammanayya, King Someshvara III
Western Chalukya Empire
Bammanayya administered Banavasi-12000 under King Someshvara III but was later 
where was the western chalukya empire located? South India
wiki:2488620
Western Chalukya Empire [SEP] Administration
For example, an official named Bammanayya administered Banavasi-12000 under King Someshvara III but was later transferred to Halasige-12000. Women from the royal family also administered "Nadus" and "Kampanas". Army commanders were titled "Mahamandaleshwaras" and those who headed a "Nadu" were entitled "Nadugouvnda". The Western Chalukyas minted punch-marked gold pagodas with Kannada and Nagari legends which were large, thin gold coins with several varying punch marks on the obverse side. They usually carried multiple punches of symbols such as a stylised lion, "Sri" in Kannada, a spearhead, the king's title, a lotus and others. Jayasimha II used the legend "Sri Jaya", Someshvara I issued coins with "Sri Tre lo ka malla", Someshvara II used "Bhuvaneka malla", Lakshmideva's coin carried "Sri Lasha", and Jagadhekamalla II coinage had the legend "Sri Jagade".