Results 11 to 20 of about 83,698 (229)
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 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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Primitive Triangular UHF Algebras
Journal of Functional Analysis, 1998 The authors prove that a large class of triangular UHF algebras are primitive. There are cases where explicitly they give a faithful algebraically irreducible representation of the algebra on a separable Hilbert space. For other cases they follow an indirect way studying the prime ideal structure of the algebra. From this they obtain a characterization
Hudson, T.D, Katsoulis, E.G
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Product of derivations on triangular banach algebras [PDF]
Journal of Hyperstructures, 2017 In this paper, we give a necessary and sufficient condition for the product of two derivations on the triangular Banach algebra to be a derivation. We also study the case where the product of derivations is commutative.
Mohammad Hossein Sattari +1 more
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Nuclear Physics B, 2022 In this paper we define infinite-dimensional algebra and its representation, whose basis is naturally identified with semi-infinite configurations of the square ladder model (square lattice with two lines). All these lead to representation of N=2 algebra.
Valerii Sopin
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Invariants of triangular Lie algebras [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 Triangular Lie algebras are the Lie algebras which can be faithfully represented by triangular matrices of any finite size over the real/complex number field. In the paper invariants ('generalized Casimir operators') are found for three classes of Lie algebras, namely those which are either strictly or non-strictly triangular, and for so-called special
Boyko, Vyacheslav M. +2 more
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Determinantal Construction of Orthogonal Polynomials Associated with Root Systems [PDF]
, 2003 We consider semisimple triangular operators acting in the symmetric component of the group algebra over the weight lattice of a root system. We present a determinantal formula for the eigenbasis of such triangular operators.
Lapointe, Luc +2 more
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Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]
Notes on IFSIn this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
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Operators on triangular algebras
Linear Algebra and its Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Sumanth Datt +2 more
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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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