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Kernel ideals and universal property of ring quotients #424
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* Also: generalize to non commutative scalars
# Conflicts: # Cubical/Structures/CommRing.agda # Cubical/Structures/Ring.agda
# Conflicts: # Cubical/Structures/AbGroup.agda # Cubical/Structures/Group.agda # Cubical/Structures/Ring.agda
* variables are indexed by an arbitrary type * show it is a commutative algebra
# Conflicts: # Cubical/Structures/AbGroup.agda # Cubical/Structures/Group.agda
# Conflicts: # Cubical/Structures/Ring.agda
# Conflicts: # Cubical/Algebra/Monoid/Base.agda # Cubical/Algebra/QuotientRing.agda # Cubical/Algebra/Ring/Base.agda
No, actually it is also confusing because I messed it up... |
Now the changes match what I wrote. |
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Looks mostly great to me! But what happened to "Cubical/Algebra/Monoid/Base.agda"? Github claims that it has been completely changed, but I can't see any difference to the actual code...
I'll try to figure out what happened. I missed it when looking at the changes because it was collapsed. |
Perfect! Will merge once Travis is finished. @mzeuner : I guess Localization should go in the Algebra.Ring subfolder once I've merged this |
Added RingHoms, kernels of RingHoms as ideals and the universal property of ring quotients.
The history might be confusing, since algebra code was restructered in between.
The only real updates from this PR are Kernel.agda, some extension of QuotientRing.agda, a new record 'RingHom' in Ring.Base and some minor changes in Ring.Properties.