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Solve problems on rings v1.0.0

Use this resource to prove properties of rings and ideals

New

  • 440 downloads
  • 228 likes
  • 104 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install abstract-algebra-rings-proofs

With no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.

First time: connect the CLI with

npx --yes palatekit@latest login

The agent checks the ring axioms, properties such as commutativity, unity or being an integral domain, then ideals, with Z3 checks and SymPy computations. You get a verifiable proof.

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Updated November 2, 2026

Card for the “Solve problems on rings” skill

Details

Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (axioms, properties, ideals)
  • SKILL.md: Z3 commands (axioms, integral domain) and SymPy (ideal)

Good fit for

  • You need to prove that a structure is a ring
  • You study principal ideals

Not for

    Tags

    • rings
    • algebra
    • ideals
    • proof

    About

    You say

    “Show that the set of even integers is an ideal of Z.”

    Card for the “Solve problems on rings” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to prove properties of rings and ideals
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.8 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/abstract-algebra/rings
    Licence
    MIT

    Notice

    « rings » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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