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Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800517
Abstract: For perturbed Stark operators $Hu=-u^{\prime\prime}-xu+qu$, the author has proved that $\limsup_{x\to \infty}{x}^{\frac{1}{2}}|q(x)|$ must be larger than $\frac{1}{\sqrt{2}}N^{\frac{1}{2}}$ in order to create $N$ linearly independent eigensolutions in $L^2(\mathbb{R}^+)$. In this paper, we apply generalized Wigner-von Neumann… read more here.
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Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02516-6
Abstract: The classical Artin–Whaples approximation theorem allows to simultaneously approximate finitely many different elements of a field with respect to finitely many pairwise inequivalent absolute values. Several variants and generalizations exist, for example for finitely many… read more here.
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Published in 2019 at "Ricerche di Matematica"
DOI: 10.1007/s11587-019-00466-8
Abstract: This paper provides an account of results and methods from the theory of infinite groups admitting only finitely many normalizers of subgroups with a given property. Some new statements on this subject are also proved. read more here.
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Published in 2019 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.01.010
Abstract: Let A be a finite dimensional algebra over an algebraically closed field with the radical nilpotent of index 2. It is shown that A has finitely many conjugacy classes of left ideals if and only… read more here.
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Published in 2019 at "Communications in Algebra"
DOI: 10.1080/00927872.2019.1588977
Abstract: Abstract For a finite nonabelian group G, let be the smallest integer m such that G contains m proper centralizers with property In this article, we find for some groups of interest. For two isoclinic… read more here.
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Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/aaf6fc
Abstract: For the linearized reconstruction problem in Electrical Impedance Tomography (EIT) with the Complete Electrode Model (CEM), Lechleiter and Rieder (2008 Inverse Problems 24 065009) have shown that a piecewise polynomial conductivity on a fixed partition… read more here.
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Published in 2020 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821502236
Abstract: We prove that if [Formula: see text] is either a hypercentral-by-finite group or a soluble Baer group and if [Formula: see text] has finitely many non-isomorphic factor-groups, then [Formula: see text] is a Chernikov group.… read more here.
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Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/7416893
Abstract: The commutative ring extensions with exactly two non-Artinian intermediate rings are characterized. An initial step involves the description of the commutative ring extensions with only one non-Artinian intermediate ring. read more here.