Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras by Yuanyuan Chen, Liangyun Zhang

“…It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. …”
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Is my study cross-sectional or longitudinal? by Luis Alberto Corona Martínez, Mercedes Fonseca Hernández

“…This article offers clarifying elements for the distinction between both types of studies; In this sense, it is considered that the longitudinal study’s defining essence lies in the researcher's interest in the changes over time of the investigated phenomenon.…”
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On the Deformation Theory of Structure Constants for Associative Algebras by B. G. Konopelchenko

“…Deformations of associative three-dimensional algebras with the DDA being a three-dimensional Lie algebra and their connection with integrable systems are studied.…”
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FUND OF ELIMINATION OF BOTTLENECKS by T. Gataullin, L. Goncharov, S. Nikolotova

“…If to look back around - we are in a bunch of problems, the solution of many of which lies on a surface, and we only need to construct the mechanism of an embodiment of such decision in life.…”
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THE SPECIFIC CHARACTER OF PEDAGOGICAL HIGHER EDUCATION IN THE CONDITIONS OF PEDAGOGICAL INSTITUTES REORGANIZATION by Alexander N. Novikov, Maria S. Novikova

“…The specificity of pedagogical higher education lies first of all in the organization of the learning process in the pedagogical institute, and in the specificity of students’ and teachers’ environment; the interaction “teacher – student”; research and education results; teachers’ status; students’ mentality; reflection. …”
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Le nationalisme catalan comme populisme : une approche des discours d’Artur Mas en 2014 by Jordi Canal

“…The real or symbolic confrontation or antagonism between two supposedly homogeneous entities, a "people", the Catalan people, and the "other", its enemy, the Spanish State or Madrid, lie at the foundations of Catalan nationalism. The speeches of Artur Mas as president of the Generalitat show it clearly.…”
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Unveiling the Advantages of Silicon Nitride Nanoparticle Anodes for Enhanced Cyclic Stability, Rate Performance, and Mechanical Robustness by Abirdu Woreka Nemaga, Samson Yuxiu Lai, Theresa Nguyen, Asbjørn Ulvestad, Carl Erik Lie Foss

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Investigating of Language Errors in the Field of Morphology in Scientific Articles of State High School Student by Ria Fitriani, Jusrin Efendi Pohan, Dian Syahfitri

“…The form of error in the field of reduplication lies in its redundant/pleonic use. The form of a composite error lies in the procedure for writing it. …”
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Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System by Jing Yu, Jingwei Han

“…Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. …”
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KÄHLER DIFFERENTIAL MODULES AND CONFIGURATIONS OF POINTS IN \(\mathbb{P}^2\) by Nguyen Khanh Linh Tran, Ngoc Long Le

“…More precisely, depending on the values of the Hilbert function of the module of Kähler differential 3-forms, we determine whether the set of points lies on a nonsingular conic, on two different lines, or on a single line.…”
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A Spherically Symmetric Model for the Tumor Growth by Saeed M. Ali, Ashfaque H. Bokhari, M. Yousuf, F. D. Zaman

“…A complete classification with regard to the diffusivity and net killing rate is obtained using Lie symmetry analysis. The reduction of the nonlinear governing equation is carried out in some interesting cases and exact solutions are obtained.…”
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Time-Compact Scheme for the One-Dimensional Dirac Equation by Jun-Jie Cao, Xiang-Gui Li, Jing-Liang Qiu, Jing-Jing Zhang

“…Based on the Lie-algebra, a new time-compact scheme is proposed to solve the one-dimensional Dirac equation. …”
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Our tenth anniversary

“…Here, we look back at how we have stayed true to our guiding mission and reflect on what lies ahead for this journal but also scholarly publishing more broadly.…”
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Symmetry Classification and Exact Solutions of a Variable Coefficient Space-Time Fractional Potential Burgers’ Equation by Manoj Gaur, K. Singh

“…We investigate the symmetry properties of a variable coefficient space-time fractional potential Burgers’ equation. Fractional Lie symmetries and corresponding infinitesimal generators are obtained. …”
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ENVIRONMENTAL EXTREMISM AS A NEW CHALLENGE OF ECONOMIC SECURITY OF INDUSTRIAL ORGANIZATIONS IN RUSSIA by A. Savin

“…We studied the origins of the protest movement, which lie in the struggle for improving the state of the ecological environment. …”
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Belarus’ Sovereignty in Question: Assessing its de facto Sovereign Status in the Shadow of Russia by Arūnas Molis, Sara Pastorello

“…At the heart of our analysis lies the distinction between sovereign states and satellite states – a distinction that has significant implications for global security, stability, and the balance of power. …”
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Insegnamento del beato Giovanni Duns Scoto sulla menzogna sullo sfondo della teoria scotiana dell’atto morale umano by Krzysztof Niewiadomski

“… The paper undertakes a study on the issue of a lie in morality, in the theory of Bl. John Duns Scotus. …”
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Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.…”
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The Local Strong Solutions and Global Weak Solutions for a Nonlinear Equation by Meng Wu

“…The existence and uniqueness of local strong solutions for a nonlinear equation are investigated in the Sobolev space C([0,T);Hs(R)) ∩C1([0,T);Hs-1(R)) provided that the initial value lies in Hs(R) with s>3/2. Meanwhile, we prove the existence of global weak solutions in L∞([0,∞);L2(R)) for the equation.…”
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Zum neutralen, verhüllenden und dysphemistischen Sprachgebrauch in deutschsprachigen Traueranzeigen by Agnieszka Gaweł

“…The focus of the analysis lies on the typology of designations of death, as well as various forms of neutral, euphemistic and dysphemistic notification of decease.…”
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