algebraixlib.algebras package

This package contains modules that represent algebras and their operations.

To the mathematical operations of a given algebra, we also add:

• Functions that return metadata. (For example, all our algebras contain an is_member function that returns True if the argument is a member of the given algebra’s ground set. This function is not mathematically an operation of the algebra.)
• Other functions that are mathematically related, but have arguments or return results that are not members of the ground set. (For example, the get_lefts() function of the algebra of relations returns a result that is not an element of the algebra’s ground set.)

The algebras based on sets that are provided are:

• sets: The algebra of sets.
• couplets: The algebra of couplets.
• relations: The algebra of relations.
• clans: The algebra of clans.

The algebras based on multisets that are provided are:

• multisets: The algebra of multisets.
• multiclans: The algebra of multiclans.

Submodules

• algebraixlib.algebras.clans module
• algebraixlib.algebras.couplets module
• algebraixlib.algebras.multiclans module
• algebraixlib.algebras.multisets module
• algebraixlib.algebras.relations module
• algebraixlib.algebras.sets module