Morphism implications

Found 20 implications*

effective monomorphism implies regular monomorphism
epimorphism andextremal monomorphism implies isomorphism
epimorphism andmonomorphism implies isomorphism
epimorphism andsplit monomorphism implies isomorphism
extremal monomorphism implies monomorphism
extremal monomorphism implies regular monomorphism
extremal monomorphism implies strong monomorphism
isomorphism implies effective monomorphism andsplit monomorphism
isomorphism implies normal monomorphism
monomorphism implies extremal monomorphism
monomorphism implies isomorphism
monomorphism implies regular monomorphism
monomorphism implies strong monomorphism
normal monomorphism implies regular monomorphism
regular monomorphism implies normal monomorphism
regular monomorphism implies strict monomorphism
split monomorphism implies regular monomorphism
strict monomorphism implies effective monomorphism
strict monomorphism implies strong monomorphism
strong monomorphism implies extremal monomorphism

*Deductions from these implications are automatically incorporated into each morphism whenever applicable. Moreover, implications are automatically dualized when the corresponding dual properties exist.

See this page for a graphical overview of the relationships between the various types of epimorphisms and monomorphisms.

For results that do not quite fit the implication model, content pages are used instead.