Results 41 to 50 of about 6,477 (139)
Skew and linearized Reed-Solomon codes and maximum sum rank distance codes over any division ring
, 2018 Reed-Solomon codes and Gabidulin codes have maximum Hamming distance and maximum rank distance, respectively. A general construction using skew polynomials, called skew Reed-Solomon codes, has already been introduced in the literature.
Martínez-Peñas, Umberto
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On derivations and commutativity of prime rings with involution
Georgian Mathematical Journal, 2015 Abstract In [Acta Math. Hungar. 66 (1995), 337–343], Bell and Daif proved that if R is a prime ring admitting a nonzero derivation such that d ( x
Ali, S., Dar, N.A., Aşçı, Mustafa
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Advanced Intelligent Discovery, EarlyView.This 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 ...
Yiming Ren, Guo‐Wei Wei
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
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A Resource Efficient Ising Model‐Based Quantum Sudoku Solver
Software: Practice and Experience, EarlyView.ABSTRACT Background Quantum algorithms exploit superposition and parallelism to address complex combinatorial problems, many of which fall into the non‐polynomial (NP) class. Sudoku, a widely known logic‐based puzzle, is proven to be NP‐complete and thus presents a suitable testbed for exploring quantum optimization approaches.
Wen‐Li Wang +5 more
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Skolem-Noether for nilpotent products
, 2015 We consider the structure of groups and algebras that can be represented as automorphisms or derivations of distributive products -- which includes nonassociative rings, modules, forms, and commutation of groups and nonassociative loops.
Wilson, James B.
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Information Dynamics and Learning in Complex Adaptive Systems: Toward a Transdisciplinary Framework
Systems Research and Behavioral Science, EarlyView.ABSTRACT This article develops a framework for understanding learning and adaptation in complex adaptive systems. Drawing from neuroscience, systems theory, information theory and quantum field theory, it examines how information processing, plasticity and systemic coherence emerge from distributed, nonlinear and feedback‐driven interactions. It argues
Anderson de Souza Sant'Anna
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High Voltage, EarlyView.ABSTRACT The stability analysis of Line Commutated Converter High Voltage Direct Current (LCC‐HVDC) is of considerable engineering importance. Establishing its analytical mathematical model helps to analyse stability and the factors that affect stability of the system.
Juanjuan Wang +6 more
wiley +1 more source
On central Boolean rings and Boolean type fuzzy ideals
Kuwait Journal of Science, 2019 In this paper, we introduce the concepts of central Boolean rings and nearrings. We obtain conditions under which central Boolean nearrings are commutative. We study derivations in central Boolean rings and nearrings.
Hamsa Nayak +2 more
doaj
Generalized reverse derivations and commutativity of prime rings [PDF]
Communications in Mathematics, 2019 Abstract Let R be a prime ring with center Z(R) and I a nonzero right ideal of R. Suppose that R admits a generalized reverse derivation (F, d) such that d(Z(R)) ≠ 0. In the present paper, we shall prove that if one of the following conditions holds: (i) F (xy) ± xy ∈ Z(R) (ii) F ([x, y]) ± [F (x), y] ∈ Z(R)
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