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arxiv: 1608.05042 · v2 · pith:IPUGJUD2new · submitted 2016-08-17 · 🧮 math.RA · math.CO

Rules of Three for commutation relations

classification 🧮 math.RA math.CO
keywords threecommutationholdrelationscallelementsenoughfollowing
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We investigate the following surprisingly widespread phenomenon which we call The Rule of Three: in order for a particular kind of commutation relation to hold for subsequences of elements of a ring labeled by any subset of indices, it is enough that these relations hold for subsets of size one, two, and three.

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