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Infinite Abelian groups
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The article was published on 1970-01-01 and is currently open access. It has received 2613 citations till now. The article focuses on the topics: Elementary abelian group & Rank of an abelian group.read more
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Extending Stone duality to multisets and locally finite MV-algebras ☆
TL;DR: In this article, a duality between locally finite MV-algebras and a category of multisets naturally arising as inverse limits of finite multiisets is established. But this duality does not hold for finite sets.
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Entropy on abelian groups
TL;DR: In this paper, the algebraic entropy for endomorphisms of arbitrary abelian groups was introduced, appropriately modifying existing notions of entropy, and the basic properties of the algebrasic entropy were given, as well as various examples.
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On endomorphism rings of primary abelian groups
Manfred Dugas,Rüdiger Göbel +1 more
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Colocalizing subcategories and cosupport
TL;DR: In this article, a notion of local homology and cosupport for triangulated categories is developed, building on earlier work of the authors on local cohomology and support.