Commutative rings whose homomorphic images are self-injective
Commutative rings whose homomorphic images are self-injective
Dedekind domains are characterized among integral domains by the property that every ideal be a projective module.The most naive dual characterization-that every homomorphic image of R be an injective module-is false.In fact, a domain with this property would have to be a field.An injectivity property that works, in the noetherian …