Results 261 to 270 of about 12,614,847 (317)
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Discrete Curvature and Abelian Groups
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2015We study a natural discrete Bochner-type inequality on graphs, and explore its merit as a notion of “curvature” in discrete spaces. An appealing feature of this discrete version of the so-called ${{\Gamma }_{2}}$ -calculus (of Bakry-Émery) seems to be ...
B. Klartag +3 more
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Journal of Soviet Mathematics, 1982
This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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Nilpotency of Abelian-by-Abelian groups
Mathematical Notes of the Academy of Sciences of the USSR, 1988See the review in Zbl 0639.20017.
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Cayley graphs on abelian groups
Comb., 2013Let A be an abelian group and let ι be the automorphism of A defined by: ι: a ↦ a−1. A Cayley graph Γ = Cay(A,S) is said to have an automorphism group as small as possible if Aut(Γ)=A⋊.
Edward Dobson +2 more
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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 \(A\equiv B\).
N. G. Khisamiev, B. S. Kalenova
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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 \(A\equiv B\).
N. G. Khisamiev, B. S. Kalenova
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Purity in abelian groups [PDF]
Algebra and Logic, 1992 Recall that a purity \(\omega\) in the category of \(R\)-modules is said to be injectively closed if a monomorphism \(i\) belongs to \(\omega\) if and only if each \(\omega\)-injective module is injective with respect to \(i\). It is proved that an injectively closed purity \(\omega\) in the category of abelian groups is completely determined by ...
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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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Journal of Mathematical Sciences, 2006
The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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Mathematics of the USSR-Sbornik, 1978
We solve Problem 44 in the book by L. Fuchs, Infinite Abelian Groups, Vol. I, which asks for a classification of the groups G having the following property: if G is contained in the direct sum of reduced groups, then nG for some n > 0 is contained in a finite direct sum of these groups.
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We solve Problem 44 in the book by L. Fuchs, Infinite Abelian Groups, Vol. I, which asks for a classification of the groups G having the following property: if G is contained in the direct sum of reduced groups, then nG for some n > 0 is contained in a finite direct sum of these groups.
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