Results 201 to 210 of about 12,705 (239)
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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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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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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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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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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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Experimental observation of non-Abelian topological charges and edge states
Nature, 2021Qinghua Guo +2 more
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Non-Abelian braiding of graph vertices in a superconducting processor
Nature, 2023Yuri D Lensky, M R Hoffmann, Jiun How Ng
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