Results 41 to 50 of about 17,267 (191)
On the structure of Leibniz algebras, whose subalgebras are ideals or core-free
Доповiдi Нацiональної академiї наук УкраїниAn algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia +2 more
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Leibniz algebras, having a dense family of ideals
Karpatsʹkì Matematičnì Publìkacìï, 2020 We say that a Leibniz algebra $L$ has a dense family of ideals, if for every pair of subalgebras $A$, $B$ of $L$ such that $A\leqslant B$ and $A$ is not maximal in $B$ there exists an ideal $S$ such that $A\leqslant S\leqslant B$.
N.N. Semko, L.V. Skaskiv, O.A. Yarovaya
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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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Studia Mathematica, 1983 Suppose that X is an algebra (a linear ring) and D is a right invertible operator with the domain and range in X. X is said to be a D-algebra if the condition \(x,y\in dom D\) implies \(xy\in dom D.\) A D-algebra is a Leibniz algebra if \((1)\quad D(xy)=xDy+yDx\quad for\quad x,y\in dom D.\) Algebras in which condition (1) is not satisfied are called ...
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On the algebra of derivations of some nilpotent Leibniz algebras
Researches in Mathematics, 2023 We describe the algebra of derivations of some nilpotent Leibniz algebra, having dimensionality 3.
L.A. Kurdachenko +2 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
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On a class of n-Leibniz deformations of the simple Filippov algebras
, 2011 We study the problem of the infinitesimal deformations of all real, simple, finite-dimensional Filippov (or n-Lie) algebras, considered as a class of n-Leibniz algebras characterized by having an n-bracket skewsymmetric in its n-1 first arguments.
Cuvier C. +3 more
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Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT In this work, we present an anisotropic multi‐goal error control based on the dual weighted residual (DWR) method for time‐dependent convection–diffusion–reaction (CDR) equations. Motivated by former work, we combine multiple goals to single error functionals with weights chosen as algorithmic parameters.
Markus Bause +5 more
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On Leibniz algebras, whose subideals are ideals
Доповiдi Нацiональної академiї наук УкраїниWe obtain a description of solvable Leibniz algebras, whose subideals are ideals. A description of certain types of Leibniz T-algebras is also obtained. In particular, it is established that the structure of Leibniz T-algebras essentially depends on the
L.A. Kurdachenko +2 more
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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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