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:

    “Those Dutchmen had hardly any imagination or fantasy, but their good taste and their scientific knowledge of composition were enormous.”
    —Vincent Van Gogh (1853–1890)

    “Every man sees in his relatives, and especially in his cousins, a series of grotesque caricatures of himself.”
    —H.L. (Henry Lewis)