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Homomorphic Encoders of Profinite Abelian Groups II
Axioms, 2022 Let {Gi:i∈N} be a family of finite Abelian groups. We say that a subgroup G≤∏i∈NGi is order controllable if for every i∈N, there is ni∈N such that for each c∈G, there exists c1∈G satisfying c1|[1,i]=c|[1,i], supp(c1)⊆[1,ni], and order (c1) divides order (
María V. Ferrer, Salvador Hernández
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A note on abelian groups [PDF]
Proceedings of the American Mathematical Society, 1953 Vijayaraghavan and Chowla [2] have proved the following result. If n=2 or has no primitive root, then there exist suitable reduced residue systems rl, r2, , * * , rh and sl, S2 , . * Sh, where h= 4(n), such that risi, r2s2, * , rhsh is also a complete residue system (mod n).
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More Abelian groups with free duals [PDF]
, 2011 In answer to a question of A. Blass, J. Irwin and G. Schlitt, a subgroup G of the additive group Z^{\omega} is constructed whose dual, Hom(G,Z), is free abelian of rank 2^{\aleph_0}.
Bergman, George M.
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A Characterization of Abelian Groups [PDF]
Proceedings of the American Mathematical Society, 1993 Let G G be a group and let k > 2 k > 2 be an integer such that ( k 3 − k ) > | G | / 2 ({k^3} - k) > |G|
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Poor and pi-poor Abelian groups [PDF]
, 2015 In this paper, poor abelian groups are characterized. It is proved that an abelian group is poor if and only if its torsion part contains a direct summand isomorphic to , where P is the set of prime integers.
R. Alizade, E. Büyükaşık
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Annihilating Graph of Abelian Groups
پژوهشهای ریاضی, 2021 In [18], the author associated a graph to an R -module M which is precisely a generalization of annihilating ideal graph of a commutative ring, see [15] and [16]. Inasmuch as Abelian groups are precisely Z-modules, in this paper we relate an annihilating
saeed safaeeyan, Soraya Barzegar
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Weyl groups and abelian varieties [PDF]
Journal of Group Theory, 2006 20 pages, to appear in Journal of Group ...
Carocca, Angel +2 more
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Convergent nets in abelian topological groups
International Journal of Mathematics and Mathematical Sciences, 2001 A net in an abelian group is called a T-net if there exists a Hausdorff group topology in which the net converges to 0. This paper describes a fundamental system for the finest group topology in which the net converges to 0.
Robert Ledet
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Characterized Subgroups of Topological Abelian Groups
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
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Haag duality for Kitaev's quantum double model for abelian groups [PDF]
, 2014 We prove Haag duality for cone-like regions in the ground state representation corresponding to the translational invariant ground state of Kitaev’s quantum double model for finite abelian groups.
Leander Fiedler, Pieter Naaijkens
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