Groups with minimax commutator subgroup [PDF]
International Journal of Group Theory, 2014 A result of Dixon, Evans and Smith shows that if $G$ is a locally (soluble-by-finite) group whose proper subgroups are (finite rank)-by-abelian, then $G$ itself has this property, i.e. the commutator subgroup of~$G$ has finite rank.
Francesco de Giovanni, Trombetti
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On the structure of some minimax-antifinitary modules
Karpatsʹkì Matematičnì Publìkacìï, 2015 Let $R$ be a ring and $G$ a group. An $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that $A/B$ is artinian.
V.A. Chupordia
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Statistical approaches for service delivery differentials as assessed through a composite indicator: Application to Ugandan local governments. [PDF]
PLoS ONEThis study assesses differentials in service delivery among Ugandan local governments through a composite indicator that consolidates essential performance data from the education, health, and water sectors.
Hillary Muhanguzi +3 more
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Groups with the real chain condition on non-pronormal subgroups [PDF]
International Journal of Group Theory, 2023 It is shown that a generalised radical group has no chain of non-pronormal subgroups with the same order type as the set $\mathbb{R}$ of the real numbers if and only if either the group is minimax or all subgroups are pronormal.
Ulderico Dardano, Fausto De Mari
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On groups with many normal subgroups [PDF]
International Journal of Group Theory, 2023 The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition,
Alessio Russo, Mario Viscusi
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Groups whose Proper Subgroups of Infinite Rank are Minimax-by-Nilpotent or Nilpotent-by-Minimax [PDF]
Advances in Group Theory and Applications, 2020 Let M denote the class of of soluble-by-finite minimax groups, and N the class of nilpotent groups. The main result states that if G is a group of infinite rank whose proper subgroups of infinite rank are MN-groups, then G is either in MN or it is a ...
Amel Zitouni
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Robust optimization of catheter positions and dwell times for HDR prostate brachytherapy. [PDF]
Med PhysAbstract Background HDR prostate brachytherapy plans are sensitive to catheter placement uncertainty, as discrepancies between planned and delivered catheter positions can degrade target coverage and increase organ at risk dose. Current inverse planning methods optimize dwell times for a fixed implant geometry and do not account for geometric ...
Schulz JB +3 more
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On some commutative invariants of modules over minimax nilpotent groups
Доповiдi Нацiональної академiї наук України, 2022 In the paper we introduce a finite system of invariants for modules over minimax nilpotent groups which consists of classes of equivalent prime ideals of the group algebra of an Abelian minimax group. In particuly, introduced system of invariants allows
A.V. Tushev
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On invariant ideals in group rings of torsion-free minimax nilpotent groups
Researches in Mathematics, 2023 Let $k$ be a field and let $N$ be a nilpotent minimax torsion-free group acted by a solvable group of operators $G$ of finite rank. In the presented paper we study properties of some types of $G$-invariant ideals of the group ring $kN$.
A.V. Tushev
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Generative Adversarial Networks for Omics Data: An Overview and Future Directions for Livestock Applications. [PDF]
Anim GenetABSTRACT Generative adversarial networks (GANs) are artificial intelligence models designed to generate novel data that is indistinguishable from real data. Originally developed to generate images to complement existing datasets and create more diverse samples, GAN‐based data can enhance downstream analysis for machine learning and deep learning ...
Vargas EC, Bresolin T.
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