Results 61 to 70 of about 435,085 (248)
Roots of unity in definite quaternion orders
, 2014 A commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra. It is known that a given quadratic order over a number field can be selective in at most one indefinite quaternion ...
Arenas-Carmona, Luis
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Enumerating algebras over a finite field
International Journal of Group Theory, 2013 Graham Higman wrote two immensely important and in uential papers on enumerating p-groups in the late 1950s. The papers were entitled Enumerating p-groups I and II, and were published in the Proceedings of the London Mathematical Society in 1960. A complete description of the algebras of dimension 2 over a nite eld is given by Petersson and Scherer ...
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Modeling and Verification of 1/f Noise Mechanisms in FAPbBr3 Single‐Crystal X‐Ray Detectors
Advanced Electronic Materials, EarlyView.We demonstratethat surface‐trap‐induced carrier number fluctuations are the dominantmechanism in FAPbBr3 Schottky devices, a conclusion supported by thedistinct defect profiles revealed by Drive‐Level Capacitance Profiling (DLCP). Throughnoise contribution decomposition, it is found that the 1/f noise of thedetector is the key noise source affecting ...
Zhongyu Yang +6 more
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Rings with involution whose symmetric elements are central
International Journal of Mathematics and Mathematical Sciences, 1980 In a ring R with involution whose symmetric elements S are central, the skew-symmetric elements K form a Lie algebra over the commutative ring S. The classification of such rings which are 2-torsion free is equivalent to the classification of Lie ...
Taw Pin Lim
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On lattice models of gapped phases with fusion category symmetries
Journal of High Energy Physics, 2022 We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases.
Kansei Inamura
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Cohomology of simple modules for sl3(k) in characteristic 3
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva +2 more
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Algebraic equivarieties over a commutative field
, 2020 We expand our previously founded basic theory of equiresidual algebraic geometry over an arbitrary commutative field, to a well-behaved theory of (equiresidual) algebraic varieties over a commutative field, thanks to the generalisation of affine algebraic geometry by the use of canonical localisations and $*$-algebras. We work here in an equivalent and
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Advanced Intelligent Discovery, EarlyView.A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi +7 more
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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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The Transcendence Degree over a Ring [PDF]
, 2011 For a finitely generated algebra over a field, the transcendence degree is known to be equal to the Krull dimension. The aim of this paper is to generalize this result to algebras over rings.
Kemper, Gregor
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