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Agent skill

Fields

by parcadei in parcadei/Continuous-Claude-v3

Problem-solving strategies for fields in abstract algebra. An agent skill from parcadei/Continuous-Claude-v3.

MITAuto-check: notesResearch & Science

Install Fields

skills CLI
$ npx skills add parcadei/Continuous-Claude-v3 --skill fields -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install parcadei/Continuous-Claude-v3 fields --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/parcadei/Continuous-Claude-v3.git skills-src && mkdir -p .claude/skills && cp -r skills-src/.claude/skills/math/abstract-algebra/fields .claude/skills/fields && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
fields
GitHub stars
3.9k
Used in
1 other repo
Token cost
~693 tokens
SKILL.md length
355 words
Files
1
Skills in repo
141
Repo updated
First seen
Licence
MIT

At a glance

Problem-solving strategies for fields in abstract algebra. An agent skill from parcadei/Continuous-Claude-v3.

  • Works in 4 steps: Is F a field? → Field Extensions → Characteristic → …
  • Tasks that involve Math and symbolic computation
  • SKILL.md covers When to Use, Decision Tree, Tool Commands and Key Techniques, plus 1 more section
  • Calls uv

What it does

Fields is an agent skill from parcadei/Continuous-Claude-v3. Problem-solving strategies for fields in abstract algebra

Its SKILL.md is about 690 tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science, covering Math and symbolic computation. It works with SymPy. The repository describes itself as: Context management for Claude Code. Hooks maintain state via ledgers and handoffs. MCP execution without context pollution. Agent orchestration with isolated context windows. The licence is MIT.

When your agent uses it

  • Tasks that involve Math and symbolic computation

Example prompts

  • “/fields”

Requirements

  • Python 3
  • Pre-approved tools (allowed-tools): Bash, Read

Workflow steps

4 steps, taken from the first numbered list in SKILL.md.

  1. Is F a field?
  2. Field Extensions
  3. Characteristic
  4. Algebraic Elements

What it can do on your machine

Read from SKILL.md and the folder at commit d07ff4b. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Bash
    • Read

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    Shell commands in SKILL.md call:

    • uv

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md. Its commands use uv, which can reach the network depending on how they are called.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Fields loads about 693 tokens when it runs. Until then it costs about 16 tokens; SKILL.md has 355 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~16
When it runs · the whole SKILL.md, loaded when a task matches
~693

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check: notes

The automated check noted patterns worth knowing about, such as sudo or a known installer.

  • NotePre-approves every shell command (allowed-tools: Bash)SKILL.md
    allowed-tools: Bash, Read

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from parcadei/Continuous-Claude-v3 at commit d07ff4b, republished under its MIT licence (© parcadei). 355 words, ~693 tokens.

Download SKILL.mdSave it as .claude/skills/fields/SKILL.md (or your agent's skills folder).
name
fields
description
Problem-solving strategies for fields in abstract algebra
allowed-tools
Bash, Read

Fields

When to Use

Use this skill when working on fields problems in abstract algebra.

Decision Tree

  1. Is F a field?

    • (F, +) is an abelian group with identity 0
    • (F \ {0}, *) is an abelian group with identity 1
    • Distributive law holds
    • z3_solve.py prove "field_axioms"

  2. Field Extensions

    • E is extension of F if F is subfield of E
    • Degree [E:F] = dimension of E as F-vector space
    • sympy_compute.py minpoly "alpha" --var x for minimal polynomial

  3. Characteristic

    • char(F) = smallest n > 0 where n*1 = 0, or 0 if none exists
    • char(F) is 0 or prime
    • For finite field: |F| = p^n where p = char(F)

  4. Algebraic Elements

    • alpha is algebraic over F if it satisfies polynomial with coefficients in F
    • sympy_compute.py solve "p(alpha) = 0" for algebraic relations

Tool Commands

Z3_Field_Axioms
bash
uv run python -m runtime.harness scripts/z3_solve.py prove "field_axioms"
Sympy_Minpoly
bash
uv run python -m runtime.harness scripts/sympy_compute.py minpoly "sqrt(2)" --var x
Sympy_Solve
bash
uv run python -m runtime.harness scripts/sympy_compute.py solve "x**2 - 2" --var x

Key Techniques

From indexed textbooks:

  • [Abstract Algebra] Write a computer program to add and multiply mod n, for any n given as input. The output of these operations should be the least residues of the sums and products of two integers. Also include the feature that if (a,n) = 1, an integer c between 1 and n — 1 such that a-c = | may be printed on request.
  • [Abstract Algebra] Reading the above equation mod4(that is, considering this equation in the quotient ring Z/4Z), we must have {2} =2[9}=[9} ons ( io ‘| where the | he? Checking the few saad shows that we must take the 0 each time. Introduction to Rings Another ideal in RG is {}-"_, agi | a € R}, i.
  • [Catergories for the working mathematician] Geometric Functional Analysis and Its Applications. Lectures in Abstract Algebra II. Lectures in Abstract Algebra III.
  • [Abstract Algebra] For p an odd prime, (Z/pZ) is an abelian group of order p* ‘(p — 1). Sylow p-subgroup of this group is cyclic. The map Z/p°Z > Z/pZ defined by at+(p*) a+t+(p) is a ring homomorphism (reduction mod p) which gives a surjective group homo- morphism from (Z/p%Z)* onto (Z/pZ)*.
  • [A Classical Introduction to Modern Number Theory (Graduate] Graduate Texts in Mathematics 84 Editorial Board s. Ribet Springer Science+Business Media, LLC 2 3 TAKEUTtlZARING. Introduction to Axiomatic Set Theory.
Show full SKILL.md (9 more words)Show less

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

© parcadei, MIT. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

Just SKILL.md in .claude/skills/math/abstract-algebra/fields of parcadei/Continuous-Claude-v3.

Open the folder on GitHubat commit d07ff4b

Used in 1 other repository

We found 1 copy of this SKILL.md (exact, near-identical or edited) in other folders, from 1 other GitHub owner. This page covers the copy in parcadei/Continuous-Claude-v3, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Fields next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Fields compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Fields this skillparcadei/Continuous-Claude-v33.9k1 repos~693Automated safety check: NotesMIT
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Edu Analytic Geometrywy51ai/edulab1.4k1 repos~1.6kAutomated safety check: PassApache-2.0
Edu Solid Geometrywy51ai/edulab1.4k1 repos~1.1kAutomated safety check: PassApache-2.0
Math Toolsananddtyagi/cc-marketplace6872 repos~1.3kAutomated safety check: PassNone
Edu Chem Reactionwy51ai/edulab1.4k—~1.2kAutomated safety check: PassApache-2.0

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Works with

Categories

Questions about Fields

What does Fields do?

Problem-solving strategies for fields in abstract algebra. An agent skill from parcadei/Continuous-Claude-v3. Fields is an agent skill from parcadei/Continuous-Claude-v3.

When should I use Fields?

Fields fits situations like: tasks that involve Math and symbolic computation.

How do I install Fields in Claude Code?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill fields -a claude-code`. Or copy the skill folder (.claude/skills/math/abstract-algebra/fields in parcadei/Continuous-Claude-v3) into .claude/skills/fields in your project. Claude Code loads it when a task matches its description.

How do I install Fields in Codex?

Run `npx skills add parcadei/Continuous-Claude-v3 --skill fields -a codex`. Or copy the skill folder (.claude/skills/math/abstract-algebra/fields in parcadei/Continuous-Claude-v3) into .agents/skills/fields in your project. Codex loads it when a task matches its description.

Can I use Fields in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add parcadei/Continuous-Claude-v3 --skill fields -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/fields, .gemini/skills/fields, .github/skills/fields and .opencode/skills/fields in your project.

What does Fields need to run?

Going by SKILL.md and its folder, Fields needs the command-line tools its instructions call (uv). Our summary lists: Python 3. Its frontmatter pre-approves these tools: Bash, Read.

Does Fields access the network?

SKILL.md contains no URLs. Its commands use uv, which can reach the network depending on how they are called. This is read from the text; nothing was executed.

Is Fields safe to install?

Our automated static check of SKILL.md found notes only (pre-approves every shell command (allowed-tools: bash)), nothing it rates as a warning. It is not a guarantee. Review the folder before installing.

What licence does Fields use?

Fields is published under the MIT licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Fields use?

About 693 tokens (SKILL.md is roughly 2.8k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Fields?

Skills that share tags, products or a category with Fields: Sympy (zLanqing/codex-claude-academic-skills, 4.6k stars), Edu Analytic Geometry (wy51ai/edulab, 1.4k stars), Edu Solid Geometry (wy51ai/edulab, 1.4k stars) and Math Tools (ananddtyagi/cc-marketplace, 687 stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Fields?

parcadei (a GitHub user) maintains it in parcadei/Continuous-Claude-v3, which has 3,940 GitHub stars. The repository holds 141 skills in this directory. The repository was last updated on January 26, 2026.

Source: parcadei/Continuous-Claude-v3 on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.