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:

    “There was not a grain of poetry in the whole composition of Lord Fawn, and poetry was what her very soul craved;Mpoetry, together with houses, champagne, jewels, and admiration.”
    —Anthony Trollope (1815–1882)

    “Every day the fat woman dies a series of small deaths.”
    —Shelley Bovey, U.S. author. Being Fat Is Not a Sin, ch. 1 (1989)