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Kernel ideals and universal property of ring quotients #424

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merged 51 commits into from
Oct 3, 2020

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felixwellen
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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.

felixwellen and others added 30 commits June 12, 2020 19:40
* 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
@felixwellen felixwellen marked this pull request as draft October 2, 2020 11:52
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No, actually it is also confusing because I messed it up...

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felixwellen commented Oct 2, 2020

Now the changes match what I wrote.

@felixwellen felixwellen marked this pull request as ready for review October 2, 2020 11:58
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@mortberg mortberg left a comment

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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...

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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.

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mortberg commented Oct 2, 2020

Perfect! Will merge once Travis is finished.

@mzeuner : I guess Localization should go in the Algebra.Ring subfolder once I've merged this

@mortberg mortberg merged commit e2c518a into agda:master Oct 3, 2020
@felixwellen felixwellen deleted the ump-quotient-ring branch May 27, 2021 15:48
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2 participants