This is the 13937th most frequent Polish word.
portugalskiej
"Portugalskiej" means "Portuguese" (in the feminine singular or plural genitive case in Polish).
Here, 'portugalskiej' is used as an adjective (genitive singular feminine form), describing the culture ('kultury').
Odwiedziłem muzeum portugalskiej kultury w Krakowie.
I visited the museum of Portuguese culture in Krakow.
In this sentence, 'portugalskiej' modifies 'kuchni' (genitive singular feminine noun), specifying the type of cuisine.
Jestem wielkim fanem portugalskiej kuchni.
I am a big fan of Portuguese cuisine.
Here, 'portugalskiej' specifies 'architektury' (genitive singular feminine noun), referring to the origin of the architecture.