# abstract-algebra

- Author: Develata
- Repository: Develata/Deve-Skills
- Version: 20260129203735
- Stars: 0
- Forks: 0
- Last Updated: 2026-02-06
- Source: https://github.com/Develata/Deve-Skills
- Web: https://mule.run/skillshub/@@Develata/Deve-Skills~abstract-algebra:20260129203735

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# Abstract Algebra

**Path**: `math-researcher-teacher/domains/algebra-geometry/abstract-algebra/`

## 🔬 Core Capabilities

### 1. Group Theory
*   Finite groups, permutation groups, symmetry groups.
*   Sylow theorems, group actions.

### 2. Rings & Fields
*   Polynomial rings, ideals, quotient rings.
*   Field extensions, Galois theory.

## 💻 Tools
*   **SymPy Group Theory**: `sympy.combinatorics` for permutation groups and group properties.