Affiliation:
1. Mathematics and Computer Science Faculty, Babes-Bolyai University, 1 Kogalniceanu Str., 400084 Cluj-Napoca, Romania
Abstract
An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized. However, for these classes, comprehensive information including negative examples is given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
6 articles.
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1. Weakly-morphic modules;Rendiconti del Circolo Matematico di Palermo Series 2;2022-05-21
2. ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS;International Electronic Journal of Algebra;2021-07-17
3. Hopficity of Modules and Rings (Survey);Algebra, Codes and Cryptology;2019
4. Abelian groups with left morphic endomorphism ring;Journal of Algebra and Its Applications;2018-08-23
5. Subgroups generated by images of endomorphisms of Abelian groups and duality;Journal of Group Theory;2018-06-06