Results 191 to 200 of about 17,375 (238)
New results on non-disjoint and classical strong external difference families. [PDF]
Huczynska S, Hume S.
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Journal of Algebra and Its Applications, 2023
Almost all Abelian groups with the property that each subgroup isomorphic to a direct summand, is also a direct summand, are determined. The relationship with co-Hopfian groups is also addressed.
Grigore Călugăreanu, Pat Keef
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Almost all Abelian groups with the property that each subgroup isomorphic to a direct summand, is also a direct summand, are determined. The relationship with co-Hopfian groups is also addressed.
Grigore Călugăreanu, Pat Keef
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Journal of Algebra and Its Applications, 2023
The subgroup [Formula: see text] is absolute direct summand (ADS) if, for every [Formula: see text]-high subgroup [Formula: see text] (i.e. maximal with respect to the property [Formula: see text]), we have [Formula: see text], and [Formula: see text] itself is an ADS group if all of its summands inherit this property.
Koşan, M. Tamer, Žemlička, Jan
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The subgroup [Formula: see text] is absolute direct summand (ADS) if, for every [Formula: see text]-high subgroup [Formula: see text] (i.e. maximal with respect to the property [Formula: see text]), we have [Formula: see text], and [Formula: see text] itself is an ADS group if all of its summands inherit this property.
Koşan, M. Tamer, Žemlička, Jan
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Canadian Journal of Mathematics, 1954
Let G be an abelian group of order [G] ≤ ∞. Let A = {a}, B = {b}, … denote non-empty finite complexes in G. Let [A] be the number of elements of A. Finally putA + B = {a + b}.
Scherk, Peter, Kemperman, J. H. B.
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Let G be an abelian group of order [G] ≤ ∞. Let A = {a}, B = {b}, … denote non-empty finite complexes in G. Let [A] be the number of elements of A. Finally putA + B = {a + b}.
Scherk, Peter, Kemperman, J. H. B.
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The Bulletin of Symbolic Logic, 2014
AbstractWe provide an introduction to methods and recent results on infinitely generated abelian groups with decidable word problem.
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AbstractWe provide an introduction to methods and recent results on infinitely generated abelian groups with decidable word problem.
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Actions of abelian groups on groups
Journal of Group Theory, 2007Let G be a group and A a finitely generated abelian subgroup of Aut(G). If G is the union of a finitely many A-orbits then G is finite.
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Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolenova, E. M., Pushkova, T. A.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolenova, E. M., Pushkova, T. A.
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Topology and its Applications, 2018
An abelian group \(N\) equipped with the discrete topology is called cancellable if for any two abelian topological groups \(G\) and \(H\), the product group \(G \times N \cong H \times N\) if and only if \(G \cong H\), where the symbol \(\cong\) means the topological isomorphism the between groups.
Peng, De Kui, He, Wei
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An abelian group \(N\) equipped with the discrete topology is called cancellable if for any two abelian topological groups \(G\) and \(H\), the product group \(G \times N \cong H \times N\) if and only if \(G \cong H\), where the symbol \(\cong\) means the topological isomorphism the between groups.
Peng, De Kui, He, Wei
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Asian-European Journal of Mathematics, 2008
A problem for Abelian groups is formulated with motivations from the theory of constant weight codes. The problem is solved for the case (ℤ2)r.
Katona, Gyula, Makar-Limanov, Leonid
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A problem for Abelian groups is formulated with motivations from the theory of constant weight codes. The problem is solved for the case (ℤ2)r.
Katona, Gyula, Makar-Limanov, Leonid
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Siberian Mathematical Journal, 1997
Let \(A\) be a group. If \(a_1,\ldots,a_n\in A\) then, when considering a model \((A,a_1,\ldots,a_n)\), we assume that the elements \(a_1,\ldots,a_n\) are distinguished as constants. If models \(A\) and \(B\) are elementarily equivalent then we write \(A\equiv B\).
Kalenova, B. S., Khisamiev, N. G.
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Let \(A\) be a group. If \(a_1,\ldots,a_n\in A\) then, when considering a model \((A,a_1,\ldots,a_n)\), we assume that the elements \(a_1,\ldots,a_n\) are distinguished as constants. If models \(A\) and \(B\) are elementarily equivalent then we write \(A\equiv B\).
Kalenova, B. S., Khisamiev, N. G.
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