европейской

европейской

"European"

The word 'европейской' is used here as an adjective that describes the noun 'культуре' (culture), indicating its geographical and cultural association with Europe.

Я читаю интересную статью о европейской культуре.

I am reading an interesting article about European culture.

In this sentence, 'европейской' describes the noun 'живописи' (paintings), specifying their origin or style as associated with European art.

Этот музей имеет богатую коллекцию европейской живописи.

This museum has a rich collection of European paintings.

Here, 'европейской' modifies the noun 'музыке' (music), comparing it qualitatively with traditional music genres.

Они предпочитают европейской музыке традиционные жанры.

They prefer traditional genres over European music.