MagPy is a Python 3 library designed to let the user create, use, and analyze the structure of magmas, which includes more specific structures such as monoids and groups. This software is still in prerelease, and the code is very rough, so use at your own risk. This is my first project for a Python library, so any help would be appreciated.
- Create magmas by instantiating the abstract base class
magpy.Magma. - Compute values and test the properties of magmas.
- Customize the character set used to display the value of magmas, unicode supported.
- Use either * or + to represent the binary magma operator.
- Full feature compatibility with Maple's Magma package.
- Expanding the magma classification system to include more functionality than Maple's Magma package.
- Symbolic computation with magams, possibly integrating with sympy.
- Support for algebraic structures with more than one binary operator (rings, fields, etc...).
- Functions for the bulk parallel processing of magmas of a certian order.
- Formatted display method for cayley tables.
Linux/Mac:
git clone https://github.com/Sintrastes/magpy.git
cd magpy
sudo ./setup.py installCreating a magma: the Magma class is an abstract class, requiring the abstract properties cayley_table(), order(), and magma_set() to be implemented before using.
import magpy.magma
class DihedralD3(magpy.Magma):
CAYLEY_TABLE =[[0,1,2,3,4,5],
[1,0,4,5,2,3],
[2,5,0,4,3,1],
[3,4,5,0,1,2],
[4,3,1,2,5,0],
[5,2,3,1,0,4]]Using magma objects: There are currentley no static methods for determining properties of a magma, so magmas must be instantiated with an object before these methods (like .isGroup()) may be used.
Magmas curentley use * as the group operation by default. the setMagmaOperator() method can be used to change this
class wide.
d = DihedralD3(2)
d.isGroup()
> True
d.isQuandle()
> False
d * d
> 0
d * 3
> 50.1 (prerelease)
GPL v2