Finite Fields

class sage.categories.finite_fields.FiniteFields(s=None)

Bases: sage.categories.category.Category

The category of finite fields

EXAMPLES:

sage: K = FiniteFields()
sage: K
Category of finite fields
sage: FiniteField(17) in K
True
sage: RationalField() in K
False
sage: K(RationalField())
...
TypeError: unable to canonically associate a finite field to Rational Field

TESTS:

sage: TestSuite(FiniteFields()).run()

class ElementMethods

class FiniteFields.ParentMethods

FiniteFields.super_categories(*args, **kwds)

EXAMPLES:

sage: FiniteFields().super_categories()
[Category of fields]