# Commit 2022-01-31 14:14 6e016d21

View on Github →feat(linear_algebra/{tensor,exterior,clifford}_algebra): these algebras are graded by powers of the submodules of their generators (#11542) This shows that:

- The tensor and exterior algebras are
`nat`

-graded algebras, with each grade`n`

corresponding to the submodule`(ι R).range ^ n`

- The clifford algebra is a superalgebra (
`zmod 2`

-graded algebra), with even and odd grades corresponding to even and odd powers of the submodule`(ι Q).range`

Eventually we'll also want to show that the tensor algebra is also graded with pieces in`pi_tensor_prod`

, but that's a job for another time.