Left modules#

class sage.categories.left_modules.LeftModules(base, name=None)[source]#

Bases: Category_over_base_ring

The category of left modules left modules over an rng (ring not necessarily with unit), i.e. an abelian group with left multiplication by elements of the rng

EXAMPLES:

Sage

sage: LeftModules(ZZ)
Category of left modules over Integer Ring
sage: LeftModules(ZZ).super_categories()
[Category of commutative additive groups]

Python

>>> from sage.all import *
>>> LeftModules(ZZ)
Category of left modules over Integer Ring
>>> LeftModules(ZZ).super_categories()
[Category of commutative additive groups]

class ElementMethods[source]#: Bases: object

class ParentMethods[source]#: Bases: object

super_categories()[source]#

EXAMPLES:

Sage

sage: LeftModules(QQ).super_categories()
[Category of commutative additive groups]

Python

>>> from sage.all import *
>>> LeftModules(QQ).super_categories()
[Category of commutative additive groups]