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:
“If I don’t write to empty my mind, I go mad. As to that regular, uninterrupted love of writing ... I do not understand it. I feel it as a torture, which I must get rid of, but never as a pleasure. On the contrary, I think composition a great pain.”
—George Gordon Noel Byron (1788–1824)
“Depression moods lead, almost invariably, to accidents. But, when they occur, our mood changes again, since the accident shows we can draw the world in our wake, and that we still retain some degree of power even when our spirits are low. A series of accidents creates a positively light-hearted state, out of consideration for this strange power.”
—Jean Baudrillard (b. 1929)