Articles, numbers, possessive pronouns, indefinite pronouns, and demonstrative pronouns are all determiners. The word 'next' fits into the second set I mentioned. It's classified as a general ordinal (ordinals are first, second, etc.), and is ranked with words like 'last', 'previous', and 'subsequent'.
last week
next week
previous week
subsequent weeks
Próximamente is an adverb.
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