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)
“There is in every either-or a certain naivete which may well befit the evaluator, but ill- becomes the thinker, for whom opposites dissolve in series of transitions.”
—Robert Musil (1880–1942)