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Sep 1, 2015 at 16:09 comment added Ehud Meir One more characterization is the fact that these are based rings: they have a basis with respect to which all the structure constants are positive integers. In addition, the dimension (and one can talk about the dimension here, using for example the theory of Frobenius Perron) of any simple element needs to be an integer and will divide the dimension of the ring (which can also be defined using FP). Of course, they are also commutative. I do not think, though, that these characterizations together with commutativity and the $\lambda$-ring structure is enough.
Aug 27, 2015 at 9:31 history edited Dmitrii Korshunov CC BY-SA 3.0
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Aug 27, 2015 at 9:24 history asked Dmitrii Korshunov CC BY-SA 3.0