Results 191 to 200 of about 11,614 (238)

Abelian groups with C2

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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ADS Abelian groups

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
openaire   +1 more source

Complexes in Abelian Groups

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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Actions of abelian groups on groups

Journal of Group Theory, 2007
Let 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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On homogeneous abelian groups

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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COMPUTABLE ABELIAN GROUPS

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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Abelian RE-Groups

Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolenova, E. M., Pushkova, T. A.
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A PROBLEM FOR ABELIAN GROUPS

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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