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 ...
T. Aihara, T. Honma
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Transposed Poisson structures on the Lie algebra of upper triangular matrices [PDF]
Portugaliae Mathematica, 2023 We describe transposed Poisson structures on the upper triangular matrix Lie algebra $T_n(F)$, $n>1$, over a field $F$ of characteristic zero. We prove that, for $n>2$, any such structure is either of Poisson type or the orthogonal sum of a fixed non ...
I. Kaygorodov, M. Khrypchenko
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Characterizing Jordan embeddings between block upper-triangular subalgebras via preserving properties [PDF]
Linear Algebra and its Applications, 2023 Let $M_n$ be the algebra of $n \times n$ complex matrices. We consider arbitrary subalgebras $\mathcal{A}$ of $M_n$ which contain the algebra of all upper-triangular matrices (i.e.\ block upper-triangular subalgebras), and their Jordan embeddings.
Ilja Gogi'c +2 more
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The image of polynomials and Waring type problems on upper triangular matrix algebras [PDF]
Journal of Algebra, 2022 Let $p$ be a polynomial in non-commutative variables $x_1,x_2,\ldots,x_n$ with constant term zero over an algebraically closed field $K$. The object of study in this paper is the image of this kind of polynomial over the algebra of upper triangular ...
S. Panja, Sachchidanand Prasad
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Images of multilinear graded polynomials on upper triangular matrix algebras [PDF]
Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2022 In this paper, we study the images of multilinear graded polynomials on the graded algebra of upper triangular matrices $UT_n$ . For positive integers $q\leq n$ , we classify these images on $UT_{n}$ endowed with a particular elementary ${\mathbb {
P. Fagundes, P. Koshlukov
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Images of multilinear polynomials on n × n upper triangular matrices over infinite fields [PDF]
Israel Journal of Mathematics, 2021 In this paper we prove that the image of multilinear polynomials evaluated on the algebra UT n ( K ) of n × n upper triangular matrices over an infinite field K equals J r , a power of its Jacobson ideal J = J ( UT n ( K )).
I. Gargate, Thiago Castilho de Mello
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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 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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Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras [PDF]
Journal of Algebra, 2022 Berenstein and Zelevinsky introduced quantum cluster algebras [Adv. Math, 2005] and the triangular bases [IMRN, 2014]. The support conjecture by Lee-Li-Rupel-Zelevinsky [PNAS, 2014] asserts that the support of a triangular basis element for a rank-2 ...
Li Li
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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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