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Connect Primary Ideal Decomposition Engine to your AI

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Break down complex polynomial ideals into primary components.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

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V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Primary Ideal Decomposition Engine.

  1. 01

    Check algorithm feasibility

    This capability determines if a specific decomposition algorithm is suitable for the complexity of your ideal and the chosen field.

  2. 02

    Decompose ideal

    This capability executes the primary decomposition of a specified polynomial ideal.

  3. 03

    Get radical of component

    This capability computes the radical of a given primary ideal.

  4. 04

    Verify decomposition

    This capability validates that a set of primary components correctly reconstructs the original ideal.

Real work

What teams actually run

01

Ideal Analysis

Break a large polynomial ideal into its primary parts to study its properties.

02

Radical Extraction

Find the radical of a component to identify the underlying prime ideal.

03

Algorithm Testing

Check if a specific method like Modular-Reduction will work for a high-degree polynomial set.

04

Verification of Results

Ensure that a set of calculated components is mathematically correct.

One connector, every AI

Primary Ideal Decomposition Engine works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Primary Ideal Decomposition Engine to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

1523ms average. Fast in production.

Primary Ideal Decomposition Engine is checked daily against the live service.

Daily averagePeak 1523ms
Oct 16Today
Fastest day
1523ms
Slowest day
1523ms
14-day trend
Stable0%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Primary Ideal Decomposition Engine, so you can see the experience inside your AI.

It does not authenticate your account with Primary Ideal Decomposition Engine. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Primary Ideal Decomposition Engine Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_nd7Jm7uVrCnjmfNLCWwWDCawq4cmjkOOOzfpgM8M/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Primary Ideal Decomposition Engine capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "primary-ideal-decomposition-engine-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_nd7Jm7uVrCnjmfNLCWwWDCawq4cmjkOOOzfpgM8M/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Primary Ideal Decomposition Engine in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Primary Ideal Decomposition Engine owners hand off.

This MCP is built for researchers and students working in algebraic geometry and commutative algebra.

  • 01

    Algebraic Geometers

    They hand off the computation of ideal components to the agent to focus on geometric interpretations.

  • 02

    Computational Mathematicians

    They use the agent to run exact algorithms on polynomial rings.

  • 03

    Graduate Students

    They use the agent to verify their manual calculations of radicals and decompositions.

FAQ

Questions Primary Ideal Decomposition Engine owners ask.

  • 01

    What kind of math does this MCP handle?

    It focuses on commutative algebra, specifically polynomial ideals and primary decomposition.

  • 02

    Can I check if a calculation will take too long?

    Yes, you can use the check_algorithm_feasibility capability to evaluate complexity before running a decomposition.

  • 03

    How do I know if the decomposition is correct?

    You can use the verify_decomposition capability to confirm the intersection of the components matches the original ideal.

  • 04

    Which AI clients can use this?

    Any MCP-compatible client like Claude, Cursor, or Windsurf can use these capabilities.

  • 05

    Does it use exact or approximate math?

    It uses exact algorithms for all polynomial ideal operations.

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