Super Algebras

sage.categories.super_algebras.SuperAlgebras

The category of super algebras.

An \(R\)-super algebra is an \(R\)-super module \(A\) endowed with an \(R\)-algebra structure satisfying

\[A_0 A_0 \subseteq A_0, \qquad A_0 A_1 \subseteq A_1, \qquad A_1 A_0 \subseteq A_1, \qquad A_1 A_1 \subseteq A_0\]

and \(1 \in A_0\).

EXAMPLES:

sage: Algebras(ZZ).Super()
Category of super algebras over Integer Ring