Corollary

Let E be an anticommutative (resp. alternating) *graded A-algebra of type $\mathbf{Z}$. Then for every ring homomorphism $\rho : A \to B$, the graded B-algebra $\rho^*(E)$ (no. 8, Remark 2) is anticommutative (resp. alternating).

The ring B with the trivial graduation can be considered as an alternating A-algebra and $\rho^*(E) = E^g \otimes_A B$, hence Proposition 14 can be applied.