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Automorphism-Extendable and Endomorphism-Extendable Modules

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This review paper is concerned with modules in which all automorphisms (endomorphisms) of submodules can be extended to endomorphisms of the entire module. We consider old results and obtain a… Click to show full abstract

This review paper is concerned with modules in which all automorphisms (endomorphisms) of submodules can be extended to endomorphisms of the entire module. We consider old results and obtain a number of new results. We also consider automorphism-invariant, quasi-injective, and injective modules.

Keywords: extendable endomorphism; automorphism extendable; extendable modules; automorphism; endomorphism extendable

Journal Title: Journal of Mathematical Sciences
Year Published: 2020

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