Document Type
Article
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
1.1 MATHEMATICS
Abstract
Necessary and sufficient conditions to ensure that the direct sum of two Abelian groups with zero entropy is again of zero entropy are still unknown; interestingly the same problem is also unresolved for direct sums of Hopfian and co-Hopfian groups. We obtain sufficient conditions in some situations by placing restrictions on the homomorphisms between the groups. There are clear similarities between the various cases but there is not a simple duality involved.
DOI
https://doi.org/10.1515/taa-2015-0007
Recommended Citation
Goldsmith, B. & Kong, G. (2019). Algebraic entropies, Hopficity and co-Hopficity of direct sums of Abelian Groups. Topological Algebra and its Applications, 3(1). DOI 10.1515/taa-2015-0007
Publication Details
Topological Algebra and Its Applications