Results 21 to 30 of about 809,033 (313)
The Effect of APOE ε4 Allele on Dynamic Local Spontaneous Brain Activity and Functional Integration in Alzheimer's Disease [PDF]
Human Brain Mapping, Volume 46, Issue 10, July 2025.The voxel‐wise concordance in the right CAU partially mediated the relationship between the plasma Aβ42 and language function in APOE ε4 carriers with AD. ABSTRACT The apolipoprotein E (APOE) ε4 allele is the most important genetic risk factor for sporadic Alzheimer's disease (AD), yet its mechanisms in AD pathology and cognitive decline remain unclear.
Yi Tan +9 more
wiley +2 more sources
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
J. A. Erdos, A. Hopenwasser
openaire +1 more source
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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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
semanticscholar +1 more source
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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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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Partial Residuated Implications Induced by Partial Triangular Norms and Partial Residuated Lattices
Axioms, 2023 This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial ...
Xiaohong Zhang, Nan Sheng, R. Borzooei
semanticscholar +1 more source
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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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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