nLab dagger monomorphism

1. Definition

A morphism $f:hom_A(a,b)$ of a dagger category $A$ is a dagger monomorphism if $f^\dagger \circ f=1_a$.

2. See also

• self-adjoint morphism

• unitary morphism

• dagger monomorphism

• dagger epimorphism

3. References

• Chris Heunen, Andre Kornell, Axioms for the category of Hilbert spaces (arXiv:2109.07418)