creative_2011_20_1_001_003_001

Bounded topologies on endomorphism rings


Horea F. Abrudan


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creative_2011_20_1_001_003

We prove in this note that the ring of endomorphisms of an infinite bounded Abelian group admits a nondiscrete right bounded ring topology. We give an example of an Abelian group whose ring of endomorphisms admits both nondiscrete left and right bounded topologies but does not admit a nondiscrete bounded ring topology.

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Abrudan, Horea, F.