superalgebra and (synthetic ) supergeometry
The term graded derivation would a priori refer in general to suitably compatible derivations of graded algebras, but is in practice used mostly for those operations on superalgebras that satisfy the condition that for a pair of elements each of homogeneous degree the derivation of their product is
where is the degree of the graded derivation.
For this is the law satisfied by an ordinary (un-graded) derivation, also known as the Leibniz rule satisfied by ordinary differentiation. The archetypical example of a non-trivially graded derivation is the de Rham differential acting on the de Rham algebra.
Created on May 3, 2023 at 05:10:10. See the history of this page for a list of all contributions to it.