Results 1 to 10 of about 83,698 (229)
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 operators T T such that T P − P T P TP - PTP is compact for all P P in N \mathcal {N} is the essentially triangular algebra associated
Erdos, J. A., Hopenwasser, A.
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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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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 +2 more
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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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Lie Bialgebras on the Rank Two Heisenberg–Virasoro Algebra
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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τ-tilting finite triangular matrix algebras
Journal of Pure and Applied Algebra, 2021 11 pages, major changes: Theorem 3.1(1) and the proof of Theorem 2.1, a new important example: Example 3 ...
Aihara, Takuma, Honma, Takahiro
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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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Jordan centralizer maps on trivial extension algebras
Demonstratio Mathematica, 2020 The structure of Jordan centralizer maps is investigated on trivial extension algebras. One may obtain some conditions under which a Jordan centralizer map on a trivial extension algebra is a centralizer map. As an application, we characterize the Jordan
Bahmani Mohammad Ali +2 more
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On Amenability-Like Properties of a Class of Matrix Algebras
Journal of Mathematics, 2022 In this study, we show that a matrix algebra ℒℳIpA is a dual Banach algebra, where A is a dual Banach algebra and 1≤p≤2. We show that ℒℳIpℂ is Connes amenable if and only if I is finite, for every nonempty set I.
M. Rostami, S. F. Shariati, A. Sahami
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