Usage¶

How to installing the package¶

Install the project into your Python environment:

$ pip install boring-math-abstract-algebra

Importing the modules¶

Import classes needed to define your own algebras.

from boring_math.abstract_algebra.semigroup import Semigroup
from boring_math.abstract_algebra.monoid import Monoid
from boring_math.abstract_algebra.group import Group
from boring_math.abstract_algebra.commutative_semigroup import CommutativeSemigroup
from boring_math.abstract_algebra.commutative_monoid import CommutativeMonoid
from boring_math.abstract_algebra.abelian_group import AbelianGroup
from boring_math.abstract_algebra.ring import Ring
from boring_math.abstract_algebra.commutative_ring import CommutativeRing
from boring_math.abstract_algebra.field import Field

Algebra class hierarchy¶

Arrows point from super class to sub classes. Class BaseSet is abstract.

digraph Modules {
bgcolor="#957fb8";
node [style=filled, fillcolor="#181616", fontcolor="#dcd7ba"];
edge [color="#181616", fontcolor="#dcd7ba"];
CommutativeMonoid -> AbelianGroup;
CommutativeSemigroup -> CommutativeMonoid;
BaseSet -> CommutativeSemigroup;
Ring -> CommutativeRing;
CommutativeRing -> Field;
Monoid -> Group;
Semigroup -> Monoid;
AbelianGroup -> Ring;
BaseSet -> Semigroup;
}