This is the 267th most frequent Ukrainian word.
український
"Ukrainian" (relating to Ukraine or its people, language, or culture).
In this sentence, 'українську' is used as an adjective in the accusative case to describe 'кухню' (cuisine), specifying that the cuisine is Ukrainian.
Я люблю українську кухню.
I love Ukrainian cuisine.
Here, 'український' is an adjective in its base form used to describe 'прапор' (flag), indicating the flag's national identity.
Це український прапор.
This is the Ukrainian flag.
The word 'українську' serves as an adjective in the accusative case, modifying 'музику' (music) to denote the type of music being Ukrainian.