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* Symmetric monoidal categories obtained as quotients
@ 2011-09-26 14:50 Micah Blake McCurdy
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From: Micah Blake McCurdy @ 2011-09-26 14:50 UTC (permalink / raw)
  To: categories

Hallo!

Given a braided monoidal category B, one could consider the monoidal
congruence generated by setting the braid equal to its inverse, for
every pair of objects.
Similarly, given a balanced monoidal category B', one could consider
the monoidal congruence generated by setting the balance equal to the
identity, for every object.
In both cases, taking the quotient should produce a symmetric monoidal
category. Has anybody studied such quotients?

Cheers,

Micah


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