Possession, in the context of linguistics, is an asymmetric relationship between two constituents, the referent of one of which (the possessor) in some sense possesses (owns, has as a part, rules over, etc.) the referent of the other (the possessed).
Possession may be marked in many ways, such as simple juxtaposition of nouns, possessive case, possessed case, construct state (as in Arabic, and Nêlêmwa), or adpositions (possessive suffixes, possessive adjectives). For example, English uses a possessive clitic ('s), a preposition, of, and adjectives (my, your, his, her, etc.). Predicates denoting possession may be formed using a verb such as English have, or by other means such as existential clauses (as is usual in languages such as Russian).
Some languages have more than two possessive classes: the Anêm language of Papua New Guinea, for example, has at least 20 and Amele language has 32.
There are many types of possession, but a common distinction is alienable versus inalienable possession. Alienability refers to the ability to dissociate something from its parent; in this case, a quality from its owner.
When something is inalienably possessed, it is usually an attribute: for example, John's big nose is inalienably possessed, because it cannot (without surgery) be removed from John; it is simply a quality he has. In contrast, 'John's briefcase' is alienably possessed, because it can be separated from John.