Commit 2023-08-04 08:48 d32630e8
View on Github →feat: maps between the unitization of a non-unital subalgebra and its Algebra.adjoin
(#5602)
If S
is non-unital subalgebra of a unital R
-algebra A
, there is a natural surjective map Unitization R S →ₐ[R] Algebra.adjoin R (S : Set A)
. When 1 ∉ S
and R
is a field, this becomes and AlgEquiv
.
We specialize this to the ℕ
-unitization of a non-unital subsemiring and its Subsemiring.closure
, as well as the ℤ
-unitization of a non-unital subring and its Subring.closure
. We also extend the above map to a StarAlgHom
in the case of NonUnitalStarSubalgebra
s.
This continues the non-unital-ization of mathlib.