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