Results 61 to 70 of about 3,056 (285)
Derivations on rank $k$ triangular matrices [PDF]
Let $n\geqslant 2$ be an integer and let $T_n(\mathcal{R})$ be the algebra of $n\times n$ upper triangular matrices over a unital ring $\mathcal{R}$.
Lau, Jinting, Chooi, Wai Leong
core +1 more source
The image of multilinear polynomials evaluated on $3\times 3$ upper triangular matrices [PDF]
, 2021 summary:We describe the images of multilinear polynomials of arbitrary degree evaluated on the $3\times 3$ upper triangular matrix algebra over an infinite ...
Mello, Thiago Castilho de
core +1 more source
Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
doaj +1 more source
Triangular algebras and ideals of nest algebras [PDF]
Memoirs of the American Mathematical Society, 1990 Let \({\mathcal H}\) be a separable Hilbert space and \({\mathcal T}\subseteq{\mathcal B}({\mathcal H})\) be an algebra of bounded operators. Say \({\mathcal T}\) is triangular if \({\mathcal T}\cap{\mathcal T}^*\) is a maximal abelian selfadjoint subalgebra (m.a.s.a.) of \({\mathcal B}({\mathcal H})\) and call this m.a.s.a. the diagonal of \({\mathcal
openaire +3 more sources
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
Researches in Mathematics, 2023 Let $K$ be an algebraically closed field of characteristic zero, $P_n=K[x_1,\ldots ,x_n]$ the polynomial ring, and $W_n(K)$ the Lie algebra of all $K$-derivations on $P_n$.
D.I. Efimov, M.S. Sydorov, K.Ya. Sysak
doaj +1 more source
Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
Algebras of right ample semigroups
Open Mathematics, 2018 Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj +1 more source
Advances in Difference Equations, 2021 We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty.
Reza Saadati +3 more
doaj +1 more source
Triangularization of a Jordan algebra of Schatten operators [PDF]
Proceedings of the American Mathematical Society, 2008 We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is simultaneously triangularizable.
openaire +2 more sources