  Bipartite quantum entanglement for qutrits and higher-dimensional objects is
considered. We analyze the possibility of violation of monogamy inequality,
introduced by Coffman, Kundu, and Wootters, for some systems composed of such
objects. An explicit counterexample with a three-qutrit totally antisymmetric
state is presented. Since three-tangle has been confirmed to be a natural
measure of entanglement for qubit systems, our result shows that the
three-tangle is no longer a legitimate measure of entanglement for states with
three qutrits or higher dimensional objects.
