Algebraic Geometry over Free Metabelian Lie Algebra I: U-Algebras and Universal Classes

This paper is the first in a series of three, the aim of which is to lay the foundations of algebraic geometry over the free metabelian Lie algebra $F$. In the current paper we introduce the notion of a metabelian Lie $U$-algebra and establish connections between metabelian Lie $U$-algebras and special matrix Lie algebras. We define the $\Delta$-localisation of a metabelian Lie $U$-algebra $A$ and the direct module extension of the Fitting's radical of $A$ and show that these algebras lie in the universal closure of $A$.Comment: 34 page

Theory of high-T_c superconductivity based on the fermion-condensation quantum phase transition

A theory of high temperature superconductivity based on the combination of the fermion-condensation quantum phase transition and the conventional theory of superconductivity is presented. This theory describes maximum values of the superconducting gap which can be as big as $\Delta_1\sim 0.1\epsilon_F$, with $\epsilon_F$ being the Fermi level. We show that the critical temperature $2T_c\simeq\Delta_1$. If there exists the pseudogap above $T_c$ then $2T^*\simeq\Delta_1$, and $T^*$ is the temperature at which the pseudogap vanishes. A discontinuity in the specific heat at $T_c$ is calculated. The transition from conventional superconductors to high-$T_c$ ones as a function of the doping level is investigated. The single-particle excitations and their lineshape are also considered.Comment: 6 pages, Revte

Employee Engagement as a Leading Success Factor for a Modern Bank

The main asset of banks is staff. Attracting and retaining workers of mass specialties directly involved in client work becomes an increasingly difficult task due to the “demographic pit” of the 1990s. Banks are faced with the task of maintaining operational efficiency, minimizing operational risks and high standards of sales and customer service, which can be realized by highly loyal personnel. To study and measure this emotional connection between employees and organizations, regular measurements of the employee engagement index are carried out, covering all aspects of work in the company. Surveys help identify areas of development in employee involvement and make the right management decisions that are important for this category of bank personnel.The subject of the article is the systematization of definitions, requirements and approaches to the involvement of bank employees and to the interpretation of the results of its research in the context of the organization and its strategy.The aim of the article is to establish a direct relationship between the strategy, organizational effectiveness and employee involvement within the framework of the 7S concept, systematize theoretical approaches and formulate a single definition of personnel involvement, justify the need to increase employee involvement for the bank, identify the factors of involvement and groups of bank personnel to which they are applicable, analysis the mechanism of answers to questions from employees and the performance matrix and possible measures of managerial impact as a result there is a survey and their interpretation.The argument is justified that the effectiveness of the organization in the implementation of its strategy directly depends on the involvement of staff; the system of compensations and benefits is the most important driver of involvement with employees of retail mass specialties (initial in a career).Conclusion: although the involvement factors cover all aspects of working in a bank, for mass workers (initial positions in a career) engaged in client work, the remuneration and benefits factor affects everyone else and is cross-cutting

Perspective Solutions in the Field of Personnel Motivation in the Digital Economy

The development of information technology (IT) has led to the development of a new generation of people who live in the virtual world. Such people live by different laws, have their own value systems, and have specific needs and demands. They are little loyal to traditional organizations, which creates problems in securing and motivating staff.The subject of the article is the positioning of technical solutions in the field of material motivation of personnel in the era of digital business transformation. The purpose of the article is to present the requirements for IT systems imposed by the Y, Z generations, the characteristics of existing technical solutions in the light of digital business transformation at the current stage and possible software options for implementation, the choice of which for implementation is determined by the scale of the business and the company’s strategy. These problems are significantly enhanced in the banking sector, where employees are both external and internal clients of the bank, and have the opportunity in real time to compare the quality and usability of IT solutions from the perspective of such clients. Prospective directions for the development of technical solutions based on the future preferences of external and internal customers (employees) due to scientific and technical progress are given.Recommendations for the introduction of new data storage and processing tools, as well as software for visualization of productivity — sales — employee bonuses, the implementation of which will lead to increased labor motivation and involvement of line staff, and through it to improve external customer experience, are offered.Conclusion: the introduction of IT solutions that meet the specific needs of generations of workers Y, Z, will help the organization to achieve the goals stated in the development strategy

Muons with E_th >= 1 Gev and Mass Composition in the Energy Range 10^{18}-10^{20} ev Observed by Yakutsk Eas Array

The ratio of the muon flux density to charged particle flux density at distances of 300 and 600 m from the shower axis (\rhom(300)/\rhos(300) and \rhom(600)/\rhos(600)) is measured. In addition, the energy dependence of \rhom(1000) is analysed for showers with energies above $10^{18}$ eV. A comparison between the experimental data and calculations performed with the QGSJET model is given for the cases of primary proton, iron nucleus and gamma- ray. We conclude that the showers with \E\ge3\times10^{18} eV can be formed by light nuclei with a pronounced fraction of protons and helium nuclei. It is not excluded however that a small part of showers with energies above $10^{19}$ eV could be initiated by primary gamma-rays.Comment: 19th European Cosmic Ray Symposium, Aug 30 - Sep 3 2004, Florence, Italy. 3 pages, 1 figure. Submitted for publication in International Journal of Modern Physics

Magnetoresistance of Highly Correlated Electron Liquid

The behavior in magnetic fields of a highly correlated electron liquid approaching the fermion condensation quantum phase transition from the disordered phase is considered. We show that at sufficiently high temperatures $T\geq T^*(x)$ the effective mass starts to depend on $T$, $M^*\propto T^{-1/2}$. This $T^{-1/2}$ dependence of the effective mass at elevated temperatures leads to the non-Fermi liquid behavior of the resistivity, $\rho(T)\propto T$ and at higher temperatures $\rho(T)\propto T^{3/2}$. The application of a magnetic field $B$ restores the common $T^2$ behavior of the resistivity. The effective mass depends on the magnetic field, $M^*(B)\propto B^{-2/3}$, being approximately independent of the temperature at $T\leq T^*(B)\propto B^{4/3}$. At $T\geq T^*(B)$, the $T^{-1/2}$ dependence of the effective mass is re-established. We demonstrate that this $B-T$ phase diagram has a strong impact on the magnetoresistance (MR) of the highly correlated electron liquid. The MR as a function of the temperature exhibits a transition from the negative values of MR at $T\to 0$ to the positive values at $T\propto B^{4/3}$. Thus, at $T\geq T^*(B)$, MR as a function of the temperature possesses a node at $T\propto B^{4/3}$.Comment: 7 pages, revtex, no figure

Color Effects Associated with the 1999 Microlensing Brightness Peaks in Gravitationally Lensed Quasar Q2237+0305

Photometry of the Q2237+0305gravitational lens in VRI spectral bands with the 1.5-m telescope of the high-altitude Maidanak observatory in 1995-2000 is presented. Monitoring of Q2237+0305 in July-October 2000, made at nearly daily basis, did not reveal rapid (night-to-night and intranight) variations of brightness of the components during this time period. Rather slow changes of magnitudes of the components were observed, such as 0.08 mag fading of B and C components and 0.05 mag brightening of D in R band during July 23 - October 7, 2000. By good luck three nights in 1999 were almost at the time of the strong brightness peak of image C, and approximately in the middle of the ascending slope of the image A brightness peak. The C component was the most blue one in the system in 1998 and 1999, having changed its (V-I) color from 0.56 mag to 0.12 mag since August 1997, while its brightness increased almost 1.2 mag during this time period. The A component behaved similarly between August 1998 and August 2000, having become 0.47 mag brighter in R, and at the same time, 0.15 mag bluer. A correlation between the color variations and variations of magnitudes of the components is demonstrated to be significant and reaches 0.75, with a regression line slope of 0.33. A color (V-I) vrs color (V-R) plot shows the components settled in a cluster, stretched along a line with a slope of 1.31. Both slopes are noticeably smaller than those expected if a standard galactic interstellar reddening law were responsible for the differences between the colors of images and their variations over time. We attribute the brightness and color changes to microlensing of the quasar's structure, which we conclude is more compact at shorter wavelengths, as predicted by most quasar models featuring an energizing central source.Comment: 14 pages, 7 figures, LaTeX, submitted to A&