Composition Series

A composition series of an object A in an abelian category is a sequence of subobjects

such that each quotient object Xi /Xi + 1 is simple (for 0 ≤ i < n). If A has a composition series, the integer n only depends on A and is called the length of A.

Famous quotes containing the words composition and/or series:

    Viewed freely, the English language is the accretion and growth of every dialect, race, and range of time, and is both the free and compacted composition of all.
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    In the order of literature, as in others, there is no act that is not the coronation of an infinite series of causes and the source of an infinite series of effects.
    Jorge Luis Borges (1899–1986)