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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.

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The evaluation and coevaluation maps for an object isomorphic to a dualisable object

This won't fit in a comment, maybe it's useful to someone: $$ \begin{align*} (\mathrm{id}_Y⊗\mathrm{ev}_Y)∘(\mathrm{coev}_Y⊗\mathrm{id}_Y) &= (\mathrm{id}_Y⊗\mathrm{ev}_X)∘(\mathrm{id}_{Y⊗X^*}⊗σ^{-1} …
Elizabeth Henning's user avatar