Results 111 to 120 of about 3,271,968 (288)
Maps on upper-triangular matrix algebras preserving k-potences
Linear Algebra and its Applications, 2008 Linear Preserver Problem (LPP) is a classical research area in matrix theory. Recently, LPP was extensively studied by relaxing or changing the linearity or bijectivity, and this paper follows such a way. Let \(\mathbb C\) be the field of complex numbers, \(M_n\) the space of all \(n\times n\) complex matrices, \(T_n\) the subset of \(M_n\) consisting ...
Wang, Zhongying, You, Hong
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Advanced Science, EarlyView.The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English +9 more
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BarekengIn its application graph theory is widely applied in various fields of science, including scheduling, transportation, industry, and structural chemistry, such as topological indexes.
M. Afdhaluzzikri +3 more
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Automorphisms and derivations of upper triangular matrix rings
Linear Algebra and its Applications, 1995 The paper deals with automorphisms and derivations of \(T_n(A)\), the algebra of upper triangular matrices over an algebra \(A\), as well as of some other algebras. A sample result: Let \(A\) be either a semiprime ring or a ring whose idempotents are all central. Let \(C\) be a central subring of \(A\).
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Minimal faithful upper-triangular matrix representations for solvable Lie algebras
Journal of Computational and Applied Mathematics, 2017 A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrices as elements. However, this result does not specify which is the minimal order of the matrices involved in such representations.
Manuel Ceballos +2 more
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Image of arbitrary polynomials on upper triangular matrix algebras
, 2023 The goal of the paper is to give a complete description of the images of noncommutative polynomials with zero constant term on upper triangular matrix algebras over an algebraically closed field.
Wang, Yu, Chen, Qian
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DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction
Advanced Science, EarlyView.Protein function is represented as a dynamic conformational ensemble rather than a single static structure. A multi‐conformation geometric attention framework aligns, clusters, and learns representative states to capture residue‐ and ensemble‐level signals. Integrating structural dynamics improves interpretable protein‐NA binding prediction and reveals
Pengpai Li +3 more
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On Jordan superderivations and Jordan super-biderivations of trivial extensions and triangular matrix rings [PDF]
Triangular matrix rings are example of trivial extensions. In this article we describe the Jordan superderivations of the trivial extensions and upper triangular matrix rings.
Cheraghpour, Hassan, Jafari, Madineh
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On Connes amenability of upper triangular matrix algebras
, 2018 To appear in University POLITEHNICA of Bucharest Scientific Bulletin-series A-Applied Mathematics and ...
Shariati, S. F. +2 more
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The Algebra of $S^2$-Upper Triangular Matrices
, 2023 Based on work presented in [4], we define $S^2$-Upper Triangular Matrices and $S^2$-Lower Triangular Matrices, two special types of $d\times d(2d-1)$ matrices generalizing Upper and Lower Triangular Matrices, respectively. Then, we show that the property
Lippold, Steven R.
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