Epis and monos which must be isos

Orzech [1] has shown that every surjective endomorphism of a noetherian module is an isomorphism. Here we prove analogous results for injective endomorphisms of noetherian injective modules, and the duals of these results. We prove that every injective endomorphism, with large image, of a module wit...

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Bibliographic Details
Main Author: David J. Fieldhouse
Format: Article
Language:English
Published: Wiley 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171284000557
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