Results 101 to 110 of about 276,249 (270)
AbstractIn this paper we classify triangular UHF algebras. The generic triangular UHF algebra is constructed as follows. Let (pn) be any sequence of positive integers such that pm|pn whenever m ⩽ n. For each n let Tpn be the algebra of all pn × pn upper triangular complex matrices, and for m ⩽ n, let σpn·pm: Tpm → Tpn be the mapping, x↦1d⊗x, where d ...
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Nonlinear Lie derivations of triangular algebras
Let \(\mathcal A\) be an algebra over a commutative ring \(\mathcal R\). A map \(\delta\colon\mathcal A\to\mathcal A\) is called an additive derivation if it is additive and satisfies \(\delta(xy)=\delta(x)y+x\delta(y)\) for all \(x,y\in\mathcal A\). If there exists an element \(a\in\mathcal A\) such that \(\delta(x)=[x,a]\) for all \(x\in\mathcal A\),
Yu, Weiyan, Zhang, Jianhua
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White light emitting molecular logic gates
White light emitting smart molecules with Boolean logic computing ability are surveyed. Abstract White light emitting (WLE) materials are of considerable interest with commercial and societal applications in video displays and lighting devices. A characteristic property of WLE materials is the luminescence profile spanning from 380 to 700 nm.
Davide Benedetto Tiz +2 more
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On (Co)homology of triangular Banach algebras [PDF]
Suppose that A and B are unital Banach algebras with units 1_A and 1_B, respectively, M is a unital Banach A-B-bimodule, T=Tri(A,M,B) is the triangular Banach algebra, X is a unital T-bimodule, X_{AA}=1_AX1_A, X_{BB}=1_BX1_B, X_{AB}=1_AX1_B and X_{BA}=1_BX1_A.
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Modules of finite projective dimension over nice weakly triangular algebras
Modules of finite projective dimension over nice weakly triangular ...
Merklen, Hector A.
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Abstract Although a substantial body of research documents the problem of course tracking for students classified as English learners (ELs), very little work has addressed the notably different challenges that subgroups of ELs face across different state policy contexts.
Kristin E. Black +7 more
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Algebras for parameterised monads [PDF]
Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monads. We identify the Eilenberg-Moore category of algebras for parameterised monads and
Atkey, Robert
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Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
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Enhancing generalized spectral clustering with embedding Laplacian graph regularization
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang +5 more
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Special Vinberg cones of rank 4
E.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
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