We quantify certain features of algebraic triangulated categories using the 'n-order', an invariant that measures how strongly n annihilates objects of the form Y. We show that the n-order of an algebraic triangulated category is infinite, and that the p-order of the p-local stable homotopy category is exactly p-1 for any prime p. In particular, the p-local stable homotopy category is not algebraic.
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