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Frobenius inequality states that $\mathrm{rank} AB + \mathrm{rank} BC \leq \mathrm{rank} ABC + \mathrm{rank} B$ whenever this has a meaning. I remember being told that this was sometimes useful. Do you know of any example?

Thank you.

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    http://www.tandfonline.com/doi/abs/10.1080/03081087908817301#preview2011-10-15
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    Thanks but I can't read it. :(2011-10-15

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