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:
“It is my PRIDE, my damn’d, native, unconquerable Pride, that plunges me into Distraction. You must know that 19-20th of my Composition is Pride. I must either live a Slave, a Servant; to have no Will of my own, no Sentiments of my own which I may freely declare as such;Mor DIE—perplexing alternative!”
—Thomas Chatterton (1752–1770)
“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)