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The FreeCommAlgebra on a coproduct of types #925
Merged
felixwellen
merged 24 commits into
agda:master
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felixwellen:freeCommAlgebra_comm_coproduct
Sep 14, 2022
Merged
The FreeCommAlgebra on a coproduct of types #925
felixwellen
merged 24 commits into
agda:master
from
felixwellen:freeCommAlgebra_comm_coproduct
Sep 14, 2022
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… into freeCommAlgebra_comm_coproduct # Conflicts: # Cubical/Algebra/CommAlgebra/FreeCommAlgebra/OnCoproduct.agda
MatthiasHu
requested changes
Sep 13, 2022
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Great stuff! :-)
Here are some comments.
MatthiasHu
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Sep 14, 2022
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This can be merged now imo!
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This PR is about proving the relation
where
I
andJ
are types which function as index-types for the variables in the generalized polynomial-ringsR[I]
andR[I][J]
. This can be used to show thatwhich are the standard multivariate polynomials in n,m and n+m variables. This also works for sets merely equivalent to some
Fin k
, so a version with actions of permutations can also be defined.The PR also adds base change for commutative algebras (from R-Algebras to S-Algebras along a hom f:S->R).