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Algebraic entropies, Hopficity and co-Hopficity of direct sums of Abelian Groups

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Goldsmith B., Gong K.

Topological Algebra and its Applications

2015

tom 3

nr 1

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.

Ograniczanie wyników

1 Topological Algebra and its Applications

1 Goldsmith B.

1 Gong K.

1 2015

Wyniki wyszukiwania

Algebraic entropies, Hopficity and co-Hopficity of direct sums of Abelian Groups