Results 41 to 50 of about 83,698 (229)
Biderivations of triangular algebras
Linear Algebra and its Applications, 2009 Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
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Non-standard quantum so(3,2) and its contractions
, 1997 A full (triangular) quantum deformation of so(3,2) is presented by considering this algebra as the conformal algebra of the 2+1 dimensional Minkowskian spacetime.
Bacry H +10 more
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Solvable Leibniz algebras with triangular nilradicals [PDF]
, 2014 In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms.
Karimjanov, I. A. +2 more
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Spatial‐Wavelength Multiplexing Error‐Controlled Photonic Analog Computing System
Advanced Science, EarlyView.A novel photonic integrated circuit prototype implementing the concept of general‐purpose analog computing and demonstrate its capability in radio frequency applications. The chip features a multichannel architecture and performs fully optical analog computation with frequency‐domain parallel processing. An FPGA‐based error‐correction algorithm aims to
Tao Zhu +15 more
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On Jordan triple (σ,τ)-higher derivation of triangular algebra
Special Matrices, 2018 Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad +2 more
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Caracterizando relaciones entre la resolución de problemas y la demostración en álgebra abstracta
Revista Boletín Redipe, 2021 La investigación desarrollada con 12 estudiantes de licenciatura en matemáticas tuvo como fin dar respuesta a la pregunta científica ¿cómo son las relaciones entre la resolución de problemas y la demostración en algebra abstracta, manifestada por ...
Mauricio Penagos +2 more
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Some Results about Triangular Representations of Lie Algebras [PDF]
, 2014 We introduce the concept of a triangular representation of a Lie algebra, give a counterpart of Ado's theorem, and discuss $2$-irreducible triangular modules over a nonreductive Lie ...
Liu, Keqin
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Advanced Science, EarlyView.This study investigates how CTCs survive varying shear stress during hematogenous metastasis. We uncover a self‐protection mechanism, by which non‐adherent CTCs adapt to high shearing milieu through accumulated cytoplasmic myosin‐mediated disruption of myosin‐actin binding, attenuating force transmission into chromatin to protect CTCs from shear ...
Cunyu Zhang +10 more
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Algebraic and Triangular n-Hyponormal Operators [PDF]
Proceedings of the American Mathematical Society, 1995 In this paper we shall prove that if an operator T ∈ L ( ⊕ 1 n H ) T \in \mathcal {L}( \oplus _1^n{\mathbf {H}}) is a finite triangular operator matrix with hyponormal operators on main diagonal, then T ...
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Coordinates for triangular operator algebras. II [PDF]
Pacific Journal of Mathematics, 1989 Write \({\mathcal M}\) for the full algebra of complex \(n\times n\) matrices, \({\mathcal A}\) for its subalgebra of diagonal matrices, and \({\mathcal P}\) for the intermediate algebra of upper-triangular matrices. Fix \(\delta\) in \({\mathcal A}\) with strictly decreasing real diagonal entries and define a group of automorphisms of \({\mathcal M}\)
Muhly, Paul S. +2 more
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