Associative algebras¶

class
sage.categories.associative_algebras.
AssociativeAlgebras
(base_category)¶ Bases:
sage.categories.category_with_axiom.CategoryWithAxiom_over_base_ring
The category of associative algebras over a given base ring.
An associative algebra over a ring \(R\) is a module over \(R\) which is also a not necessarily unital ring.
Warning
Until trac ticket #15043 is implemented,
Algebras
is the category of associative unital algebras; thus, unlike the name suggests,AssociativeAlgebras
is not a subcategory ofAlgebras
but ofMagmaticAlgebras
.EXAMPLES:
sage: from sage.categories.associative_algebras import AssociativeAlgebras sage: C = AssociativeAlgebras(ZZ); C Category of associative algebras over Integer Ring

Unital
¶ alias of
sage.categories.algebras.Algebras
