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:

    “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.”
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    “Personality is an unbroken series of successful gestures.”
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