k.d. lang -- Officially Undomesticated from Domestic Partner

Watch out ladies ... country singer k.d. lang is BACK ON THE MARKET -- TMZ has learned, her domestic partnership has officially been dissolved.

The judgment was entered last week -- eight months after lang filed docs to end her nearly 2-year partnership with Jamie Price.

The couple met back in 2003 through a Buddhist teacher -- and registered for a domestic partnership in 2009.

According to the settlement agreement, both sides have waived rights to partner support -- and agree to a clean division of property ... k.d. takes what's hers (earnings, bank accounts, car, houses), Jamie takes what's hers (not that much).