Results 11 to 20 of about 1,758 (75)
Study on Poisson Algebra and Automorphism of a Special Class of Solvable Lie Algebras
Symmetry, 2023 We define a four-dimensional Lie algebra g in this paper and then prove that this Lie algebra is solvable but not nilpotent. Due to the fact that g is a Lie algebra, ∀x,y∈g,[x,y]=−[y,x], that is, the operation [,] has anti symmetry.
De-Min Yu, Chan Jiang, Jiejing Ma
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On completeness of some pro-solvable Lie algebras
Filomat, 2023 In the paper we describe the derivations of two N-graded infinite-dimensional Lie algebras n1 and n2 which are the positive parts of the affine Kac-Moody algebras A(1) 1 and A(2) 2 , respectively.
K. Abdurasulov +3 more
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On maximal solvable extensions of nilpotent Lie algebras [PDF]
Journal of AlgebraIn this paper, we provide a complete description of complex maximal solvable extensions for a certain class of nilpotent Lie algebras. In particular, we show that, up to isomorphism, a solvable extension of a $d$-locally diagonalizable nilpotent Lie ...
B. Omirov, G. Solijanova
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On the subalgebra lattice of solvable evolution algebras [PDF]
RACSAMThe main objective of this paper is to study the relationship between a solvable evolution algebra and its subalgebra lattice, emphasizing two of its main properties: distributivity and modularity.
M. Ladra +2 more
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Engel, Nilpotent and Solvable BCI-algebras
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2019 In this paper, we define the concepts of Engel, nilpotent and solvable BCI-algebras and investigate some of their properties. Specially, we prove that any BCK-algebra is a 2-Engel.
E. Mohammadzadeh, R. Borzooei
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Solvable and (super)nilpotent semigroups with completely simple ideal and (super)nilpotent monoids
Semigroup ForumAround 1980 commutator theory was generalized from groups to arbitrary algebras using the socalled term condition commutator. The semigroups that are abelian with respect to this commutator were classified by Warne [22].
Peter Mayr
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Universal properties of Delannoy categories
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier +2 more
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On the chain of commuting operators on Banach spaces
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract An operator T$T$ on a Banach space is said to be of chain N$N$ if there exist non‐scalar operators S1,⋯,SN−1$S_1,\dots,S_{N-1}$ and a non‐zero compact operator K$K$ such that T↔S1↔S2↔⋯↔SN−1↔K,$$\begin{equation*} T \leftrightarrow S_1 \leftrightarrow S_2 \leftrightarrow \dots \leftrightarrow S_{N-1} \leftrightarrow K, \end{equation*}$$where A↔B$
Tomasz Szczepanski
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Nilpotent and solvable in finite B-algebras and their properties
Journal of Algebraic Hyperstructures and Logical AlgebrasIn this paper, the notion of nilpotency is introduced in a Balgebra. Furthermore, some main properties of a nilpotent B-algebra are investigated. Next, by defining the concept of theta pair for a maximal subalgebra of a finite B-algebra, we explore ...
R. Soleimani
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On Nilpotent and Solvable Quasi-Einstein Manifolds [PDF]
Journal of Geometric AnalysisIn this paper, we investigate nilpotent and unimodular solvable Lie groups that admit quasi-Einstein metrics (M, g, X) with X a left-invariant vector field, which we call totally left-invariant quasi-Einstein metrics. We give a complete classification of
Nazia Valiyakath
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