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

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...

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發表在:	Topological Algebra and its Applications
Main Authors:	Goldsmith Brendan, Gong Ketao
格式:	Article
語言:	英语
出版:	De Gruyter 2015-11-01
主題:	algebraic entropy adjoint entropy direct sums matrix of endomorphisms Abelian groups
在線閱讀:	http://www.degruyter.com/view/j/taa.2015.3.issue-1/taa-2015-0007/taa-2015-0007.xml?format=INT