Vol. 18, No. 1, 1966

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ISSN: 0030-8730
Commutative rings whose homomorphic images are self-injective

Lawrence S. Levy

Vol. 18 (1966), No. 1, 149–153
Abstract

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 case, is the property that every proper homomorphic image be a self-injective ring. The main result of this note is:

Mathematical Subject Classification
Primary: 13.15
Secondary: 13.40
Milestones
Received: 26 February 1965
Published: 1 July 1966
Authors
Lawrence S. Levy
University of Nebraska
NE
Unitd States
http://www.math.wisc.edu/~levy/