Terminology
The terminology used for possessive words and phrases is not consistent among all grammarians and linguists.
What some authors refer to as possessives, others may call genitives. Most commonly, however, the term genitive is used in relation to languages with a developed case system (in which the "genitive case" often has a wider range of functions than merely forming possessives), while in languages like English, where their status as a grammatical case is doubtful, such words are usually called possessives rather than genitives. A given language may have distinct genitive and possessive forms, as in the example of Russian given above. (The English possessive in -'s is sometimes called the Saxon genitive; this alludes to its derivation from the genitive case that existed in Old English.)
Words like the English my and your have traditionally been called possessive adjectives. However some modern linguists note that in a language such as English they behave like determiners rather than true adjectives (see examples in the Syntax section above), and thus prefer to call them possessive determiners. In some other languages, however, the equivalent words behave more like true adjectives (compare the Italian example above, for instance).
While for many authors the term possessive pronoun is reserved (as in this article) for possessives like mine and yours which do not qualify an explicit noun, the term is sometimes taken also to include other possessive forms that correspond to pronouns, such as my and your. This is in spite of the fact that the latter words do not behave grammatically as pronouns, in the sense that they do not substitute directly for a noun or noun phrase.
Some authors who classify both sets of words as possessive pronouns or genitive pronouns apply the terms dependent/independent or weak/strong to refer, respectively, to my, your, etc. and mine, yours, etc. Thus my is termed a dependent (or weak) possessive pronoun, while mine is an independent (or strong) possessive pronoun.
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