Results 11 to 20 of about 1,787 (195)

TΩ-sequences in abelian groups

International Journal of Mathematics and Mathematical Sciences, 2000
A sequence in an abelian group is called a T-sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero ...
Robert Ledet, Bradd Clark
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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).
openaire   +2 more sources

non-divisibility for abelian groups

پژوهش‌های ریاضی, 2022
Introduction   In Throughout all groups are abelian. Suppose that G is a group and n is a positive integer. For a ∈ G, if we consider the solution of the equation nx = a in G, two subsets of G are proposed.
mohammad reza vedadi, yaser Tolooei
doaj  

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, Wayne Lewis, Peter Loth, Adolf Mader   +3 more
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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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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
doaj  

Utumi Abelian groups

Rendiconti del Seminario Matematico della Università di Padova, 2023
In a recent paper written by Y. Ibrahim and M. Yousif (2018), the following class of modules is considered: a right R -module M is called a Utumi
Călugăreanu, Grigore, Das, Soumitra
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Introducing n-Magic Groups and Characterizing 3-Magic Finitely-Generated Abelian Groups [PDF]

Advances in Group Theory and Applications
In this paper, we define an n-magic square in a group to be an n x n array of group elements whose rows, columns, and diagonals have the same product. This definition is similar to the idea of magic squares in the integers.
Danielle Bowerman, Nicholas Fleece, Matt Insall   +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
doaj   +1 more source

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, Anna Giordano Bruno, Daniele Impieri   +2 more
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