Results 1 to 10 of about 3,056 (285)

Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra [PDF]

Mathematics, 2023
The rank two Heisenberg–Virasoro algebra can be viewed as a generalization of the twisted Heisenberg–Virasoro algebra. Lie bialgebras play an important role in searching for solutions of quantum Yang–Baxter equations.
Yihong Su, Xue Chen
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On Jordan triple (σ,τ)-higher derivation of triangular algebra

Special Matrices, 2018
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad, Jabeen Aisha, Parveen Nazia   +2 more
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CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is ...
Arindam Ghosh, Om Prakash
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Essentially Triangular Algebras [PDF]

Proceedings of the American Mathematical Society, 1986
If N \mathcal {N} is a nest, then the set of all bounded linear ...
Erdos, J. A., Hopenwasser, A.
openaire   +2 more sources

Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]

Sahand Communications in Mathematical Analysis, 2020
In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan, Ali Ebadian, Kazem Haghnejad Azar   +2 more
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras

Journal of Mathematics, 2021
In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Generalized Lie n-derivations on arbitrary triangular algebras

Open Mathematics, 2023
In this study, we consider generalized Lie nn-derivations of an arbitrary triangular algebra TT through the constructed triangular algebra T0{T}_{0}, where T0{T}_{0} is constructed using the notion of maximal left (right) ring of quotients.
Yuan He, Liu Zhuo
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Characterizations of Lie n-Centralizers on Certain Trivial Extension Algebras

Journal of Mathematics, 2023
In this paper, we describe the structure of Lie n-centralizers of a trivial extension algebra. We then present some conditions under which a Lie n-centralizer on a trivial extension algebra is proper.
Xiaokui Li, He Yuan, Qian Zhang
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The Stability of Generalized Jordan Derivations Associated with Hochschild 2-Cocycles of Triangular Algebras

Fuzzy Optimization and Modeling, 2022
In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated.
Rohollah Bakhshandeh, Isa Bakhshandeh
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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Journal of Mathematics, 2021
Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
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