Results 201 to 210 of about 17,375 (238)
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Journal of Algebra and Its Applications, 2010
An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized.
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An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized.
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Abelianization of space groups
Acta Crystallographica Section A Foundations of Crystallography, 2008The abelianization of a group is its commutator quotient group. In this paper, we provide tables of the abelianizations of all the n-dimensional space groups for n = 1, 2, 3. We prove that the exponent of the torsion subgroup of the abelianization of an arbitrary n-dimensional space group Gamma divides the order of the point group of Gamma.
John G, Ratcliffe, Steven T, Tschantz
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Canadian Journal of Mathematics, 1967
The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed ...
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The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed ...
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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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On the classification of abelian groups
Periodica Mathematica Hungarica, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Abelian Inverse Anderson Transitions
Physical Review Letters, 2023Houjun Sun, Xiangdong Zhang
exaly
Abelian combinatorics on words: A survey
Computer Science Review, 2023Gabriele Fici, Svetlana Puzynina
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Shortest Route to Non-Abelian Topological Order on a Quantum Processor
Physical Review Letters, 2023Nathanan Tantivasadakarn +2 more
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Observation of non-Abelian Anderson localization and transition in topolectrical circuits
Physical Review B, 2023Houjun Sun, Xiangdong Zhang
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