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Kernels of ring homomorphisms, quotients, ideals as representing kernels #93

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plt-amy opened this issue May 17, 2022 · 0 comments
Open
2 of 6 tasks

Kernels of ring homomorphisms, quotients, ideals as representing kernels #93

plt-amy opened this issue May 17, 2022 · 0 comments
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algebra For issues/pull requests relating to the Algebra.* namespace enhancement New feature or request good first issue Good for newcomers

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plt-amy commented May 17, 2022 •
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Essentially the same thing as Algebra.Group.Subgroup, but for ring/ideal rather than group/normal subgroup. Snarky wording about subsets and evil wizards is mandatory.

  • Images of ring homomorphisms
  • Kernels of ring homomorphisms
  • "im(f)" satisfies the universal property of "R/ker(f)"
  • Ideal
  • Quotient by an ideal
  • Kernel of the quotient map is the ideal we started with
@plt-amy plt-amy added enhancement New feature or request good first issue Good for newcomers algebra For issues/pull requests relating to the Algebra.* namespace labels May 17, 2022
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