Results 1 to 9 of about 10 (9)
Finitely generated subgroups as von Neumann radicals of an Abelian group [PDF]
Математичні Студії, 2012 Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G.
S. S. Gabriyelyan
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TAO-DFT Study on the Electronic Properties of Diamond-Shaped Graphene Nanoflakes
Nanomaterials, 2020 At the nanoscale, it has been rather troublesome to properly explore the properties associated with electronic systems exhibiting a radical nature using traditional electronic structure methods.
Hong-Jui Huang +2 more
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On T-Characterized Subgroups of Compact Abelian Groups
Axioms, 2015 A sequence \(\{ u_n \}_{n\in \omega}\) in abstract additively-written Abelian group \(G\) is called a \(T\)-sequence if there is a Hausdorff group topology on \(G\) relative to which \(\lim_n u_n =0\).
Saak Gabriyelyan
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Characterized Subgroups of Topological Abelian Groups
Axioms, 2015 A subgroup H of a topological abelian group X is said to be characterized by a sequence v = (vn) of characters of X if H = {x ∈ X : vn(x) → 0 in T}. We study the basic properties of characterized subgroups in the general setting, extending results known ...
Dikran Dikranjan +2 more
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Radicals coinciding with the von Neumann regular radical on artinian rings
Monatshefte f�r Mathematik, 1998 The authors study radicals which coincide on artinian rings with Jacobson semisimple rings or equivalently with von Neumann regular rings. We say that two radical classes \(\sigma\) and \(\delta\) coincide on a class \(\mathcal C\) of rings in the weak sense if \(\gamma\cap{\mathcal C}=\delta\cap{\mathcal C}\).
Wiegandt, R., Mlitz, R., Sands, A.D.
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The Von Neumann Regular Radical and Jacobson Radical of Crossed Products
Acta Mathematica Hungarica, 2000 We construct the $H$-von Neumann regular radical for $H$-module algebras and show that it is an $H$-radical property. We obtain that the Jacobson radical of twisted graded algebra is a graded ideal. For twisted $H$-module algebra $R$, we also show that $r_{j}(R#_σH)= r_{Hj}(R)#_σH$ and the Jacobson radical of $R$ is stable, when $k$ is an algebraically
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Bounded subgroups as a von Neumann radical of an Abelian group
Topology and its Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On radicals and von Neumann ideals
Algebra and Logic, 1969zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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