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:

    “At painful times, when composition is impossible and reading is not enough, grammars and dictionaries are excellent for distraction.”
    —Elizabeth Barrett Browning (1806–1861)

    “Galileo, with an operaglass, discovered a more splendid series of celestial phenomena than anyone since.”
    —Ralph Waldo Emerson (1803–1882)