Associative algebras¶
-
sage.categories.associative_algebras.
AssociativeAlgebras
¶ 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