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possessive determiner

n. (context grammar English) A determiner used to demonstrate the possession of the thing referenced by the following noun; in English, they include (term: my), (term: his), (term: her), (term: our), (term: your), (term: its) and (term: their).

Wikipedia
Possessive determiner

Possessive determiners constitute a sub-class of determiners which modify a noun by attributing possession (or other sense of belonging) to someone or something. They are also known as possessive adjectives, although the latter term is sometimes used with a wider meaning.

Examples in English include possessive forms of the personal pronouns, namely my, your, his, her, its, our and their, but excluding those forms such as mine and ours that are used as possessive pronouns but not as determiners. Possessive determiners may also be taken to include possessive forms made from nouns, from other pronouns and from noun phrases, such as John's, the girl's, somebody's, the king of Spain's, when used to modify a following noun.

In many languages, possessive determiners are subject to agreement with the noun they modify, as in the French mon, ma, mes, respectively the masculine singular, feminine singular and plural forms corresponding to the English my.