Every premium and members-only resource for $9.99/month, as a no-commitment subscription. See the plans

PalateKit

Sign in
Menu

Request a resource

Describe the resource you are missing in one sentence. We will email you when it is published.

0 / 280

A page, a video or an image online.

Unlock PalateKit

Unlock everything

Plan

Paying means accepting our terms of sale.

Secure payment by Stripe. Receipts and invoices sent by email.

Welcome back

Sign in to install, download or save this resource. A free account is enough for free resources.

Solve problems on fields v1.0.0

Use this resource to prove properties of fields and field extensions

New

  • 372 downloads
  • 250 likes
  • 115 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install abstract-algebra-field-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 field axioms, computes the characteristic and studies extensions, with the minimal polynomial computed by SymPy and Z3 checks. You get a proof for your exercise.

Mostly picked by

Updated November 2, 2026

Card for the “Solve problems on fields” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

Similar resources

View all

What you get

  • SKILL.md: decision tree (axioms, extensions, characteristic)
  • SKILL.md: SymPy commands (minimal polynomial, solve) and Z3 (field axioms)

Good fit for

  • You study field extensions
  • You need to compute a characteristic

Not for

    Tags

    • fields
    • algebra
    • extension
    • characteristic

    About

    You say

    “Compute the minimal polynomial of the square root of 2 over Q.”

    Card for the “Solve problems on fields” 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 fields and field extensions
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md2.8 KB

    Origin and licence

    Listed unmodified

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

    Notice

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

    User reviews

    –

    No ratings yet

    Loading reviews…

    Delete your review?

    Your rating and comment will be removed from the page.