Unital algebras

sage.categories.unital_algebras.UnitalAlgebras

The category of non-associative algebras over a given base ring.

A non-associative algebra over a ring \(R\) is a module over \(R\) which s also a unital magma.

Warning

Until trac ticket #15043 is implemented, Algebras is the category of associative unital algebras; thus, unlike the name suggests, UnitalAlgebras is not a subcategory of Algebras but of MagmaticAlgebras.

EXAMPLES:

sage: from sage.categories.unital_algebras import UnitalAlgebras
sage: C = UnitalAlgebras(ZZ); C
Category of unital algebras over Integer Ring