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Torsion-Free Abelian Group Rings III
Bulletin of the Faculty of Science, Ibaraki University. Series A, Mathematics, 1977 Ryûki Matsuda
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Quasi-bialgebra Structures and Torsion-free Abelian Groups [PDF]
, 2013 We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorphism, these quasi-bialgebra structures produce only one (braided) monoidal ...
Alessandro Ardizzoni +2 more
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On Undecidability of Finite Subsets Theory for Torsion Abelian Groups
Mathematics, 2022 Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the pointwise definition. So, we can consider the theory of finite subsets of M.
Sergey Mikhailovich Dudakov
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The abelian groups with torsion-free endomorphism ring
Publicationes Mathematicae Debrecen, 2022 I. Szélpál
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Regularity in torsion-free abelian groups [PDF]
Czechoslovak Mathematical Journal, 1992 Eine Untergruppe \(B\) einer torsionsfreien abelschen Gruppe \(A\) heißt regulär (kritisch regulär) falls \(t^ B(b) = t^ A(b)\) für alle \(b\in B\) (falls für alle Typen \(t\) gilt: \(B(t) \setminus B^*(t)_ * \subset A(t)\setminus A^*(t)_ *\)). Die Untergruppe \(B\) heißt stark regulär, falls \(B\) eine reguläre und eine kritisch reguläre Untergruppe ...
Müller, Edgar, Mutzbauer, Otto
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Homogeneous torsion-free Abelian groups [PDF]
Czechoslovak Mathematical Journal, 1964 Ladislav Procházka
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A Distinguished Subgroup of Compact Abelian Groups
Axioms, 2022 Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus.
Dikran Dikranjan +3 more
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Invariants for a class of torsion-free abelian groups [PDF]
Proceedings of the American Mathematical Society, 1989 In this note we present a complete set of quasi-isomorphism invariants for strongly indecomposable abelian groups of the form G = G ( A 1 , … , A n ) G = G({A_1}, \ldots ,{A_n}) .
Arnold, D., Vinsonhaler, C.
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On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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On the Classification Problem for Rank 2 Torsion-Free Abelian Groups [PDF]
, 2000 We study here some foundational aspects of the classification problem for torsion-free abelian groups of finite rank. These are, up to isomorphism, the subgroups of the additive groups (Q^n, +), for some n = 1, 2, 3,....
Kechris, Alexander S.
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