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Lipidome visualisation, comparison, and analysis in a vector space. [PDF]
PLoS Comput BiolOlzhabaev T +4 more
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Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation. [PDF]
PLoS OneAldwoah K +5 more
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Negative Eigenvalue Estimates for the 1D Schrödinger Operator with Measure-Potential. [PDF]
Ann Henri PoincareFulsche R, Nursultanov M, Rozenblum G.
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Sensing spatial inequality of socio-economic factors for deploying permanent deacons in the UK. [PDF]
Front SociolIslam MT +4 more
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On some “minimal” Leibniz algebras
Journal of Algebra and Its Applications, 2017The aim of this paper is to describe some “minimal” Leibniz algebras, that are the Leibniz algebras whose proper subalgebras are Lie algebras, and the Leibniz algebras whose proper subalgebras are abelian.
Chupordia, V. A. +2 more
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Mathematical Notes, 2021
For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
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For a class of algebras \(\mathcal{A}\), denote by \(\mathcal{A}_1\) the class of algebras in which every singly generated algebra belongs to the class \(\mathcal{A}\). We similarly define \(\mathcal{A}_2\) as the class of algebras in which every two-generated algebra belongs to the class \(\mathcal{A}\).
Ismailov, N. A., Dzhumadil'daev, A. S.
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Forum Mathematicum, 2002
The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
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The paper provides foundational material for the construction of free Leibniz \(n\)-algebras and an interpretation of Leibniz \(n\)-algebra cohomology in terms of Quillen cohomology. Motivated by generalizations of Lie algebra structures to settings with \(n\)-ary operations, the authors define a Leibniz \(n\)-algebra to be a vector space \(\mathcal{L}\
Casas, J. M. +2 more
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Cohomology of Leibniz Algebras
Jahresbericht der Deutschen Mathematiker-Vereinigung, 2023The paper under review is a survey of recent results on the cohomology of Leibniz algebras which are due to the author and the reviewer [J. Algebra 569, 276--317 (2021; Zbl 1465.17006); Indag. Math., New Ser. 35, No. 1, 87--113 (2024; Zbl 1543.17003)].
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Leibniz algebras in characteristic
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001The paper under review presents a definition of a restricted Leibniz algebra \(Q\) in characteristic \(p\), and then presents a condition for the non-vanishing of the Leibniz cohomology of \(Q\). In particular, let \(k\) be an algebraically closed field of characteristic \(p > 0\), and let \(Q\) be a (left) Leibniz algebra over \(k\).
Dzhumadil'daev, Askar S. +1 more
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