Results 11 to 20 of about 66,979 (212)
Lattice-ordered 2×2 triangular matrix algebras
Linear Algebra and its Applications, 2005 AbstractWe show that there are four different lattice orders on a 2×2 triangular matrix algebra over a totally ordered field to make it into a lattice-ordered algebra in which the identity matrix is positive. A general method is also given to construct lattice orders in which the identity matrix is not positive.
Bradley, Walter, Ma, Jingjing
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Polynomial functions on upper triangular matrix algebras [PDF]
Monatshefte für Mathematik, 2016 There are two kinds of polynomial functions on matrix algebras over commutative rings: those induced by polynomials with coefficients in the algebra itself and those induced by polynomials with scalar coefficients. In the case of algebras of upper triangular matrices over a commutative ring, we characterize the former in terms of the latter (which are ...
Sophie Frisch
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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Nonlinear Lie Triple Higher Derivations on Triangular Algebras by Local Actions: A New Perspective
Axioms, 2022 Let R be a commutative ring with unity and T be a triangular algebra over R. Let a sequence Δ={δn}n∈N of nonlinear mappings δn:T→T is a Lie triple higher derivation by local actions satisfying the equation.
Xinfeng Liang, Dandan Ren, Qingliu Li
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Algorithms, 2023 It is well known that ω-circulant matrices with ω≠0 can be simultaneously diagonalized by a transform matrix, which can be factored as the product of a diagonal matrix, depending on ω, and of the unitary matrix Fn associated to the Fast Fourier Transform.
Rafael Díaz Fuentes +2 more
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Nonlinear maps preserving Lie products on triangular algebras
Special Matrices, 2016 In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre.
Yu Weiyan
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Generalized Jordan N-Derivations of Unital Algebras with Idempotents
Journal of Mathematics, 2021 Let A be a unital algebra with idempotent e over a 2-torsionfree unital commutative ring ℛ and S:A⟶A be an arbitrary generalized Jordan n-derivation associated with a Jordan n-derivation J.
Xinfeng Liang
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Quantum double of Heisenberg-Weyl algebra, its universal R-matrix and their representations [PDF]
, 1993 In this paper a new quasi-triangular Hopf algebra as the quantum double of the Heisenberg-Weyl algebra is presented.Its universal R-matrix is built and the corresponding representation theory are studied with the explict construction for the ...
Biedenharn L +15 more
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Relative Gorenstein Dimensions over Triangular Matrix Rings
Mathematics, 2021 Let A and B be rings, U a (B,A)-bimodule, and T=A0UB the triangular matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix ring are investigated.
Driss Bennis +3 more
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Brownian motion on a smash line [PDF]
, 2000 Brownian motion on a smash line algebra (a smash or braided version of the algebra resulting by tensoring the real line and the generalized paragrassmann line algebras), is constructed by means of its Hopf algebraic structure.
Ellinas, Demosthenes +1 more
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