Results 71 to 80 of about 115,744,936 (297)

Unimodular rows over affine algebras over algebraic closure of a finite field

Journal of Algebra and Its Applications, 2022
In this paper, we prove that if [Formula: see text] is an affine algebra of dimension [Formula: see text] over [Formula: see text] and [Formula: see text] then any unimodular row over [Formula: see text] of length [Formula: see text] can be mapped to a factorial row by elementary transformations.
openaire   +3 more sources

Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization

Advanced Science, EarlyView.
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley   +1 more source

Automorphisms of free braided nonassociative algebras of rank 2

Қарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip, B.A. Duisengaliyeva, A.S. Naurazbekova   +2 more
doaj   +1 more source

Irreducible highest weight representations of the simple n-Lie algebra [PDF]

, 2012
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of all irreducible, highest weight modules, including the ...
Dana Bălibanu, Balibanu, D.M., van de Leur, J.W., Sub Algebra,Geometry&Mathem. Logic begr., Algebra & Geometry and Mathematical Locic, Johan van de Leur   +5 more
core   +1 more source

Intrinsic Dual‐Phase Regulated GeSe2 Nanoparticles Triggered by Ball‐Milling Treatment for Photonic Multi‐Valued Logic Circuits

Advanced Science, EarlyView.
We report the solid‐state ball milling, a traditional, reliable, mass‐productive material processing, to prepare the air‐stable and dual‐phase GeSe2‐x nanoparticles with extended photodetection feasibility toward optical‐wavelength regions. We further display photonic multi‐valued logic (MVL) circuit through the employment of a hybrid PMMA/GeSe2‐x ...
An‐Ting Tsai, Chun‐Jen Wang, Pin‐Chao Liao, Chin Shan Lue, Chia‐Nung Kuo, Le Vo Phuong Thuan, Po‐Hsuan Hsiao, Chang‐Hyun Kim, Chia‐Yun Chen   +8 more
wiley   +1 more source

Actions of formal groups on special quotients of algebras

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2007
Let k be a field of characteristic p > 0 and let F be a one dimensional commutative formal group over k. The endomorphisms of a k-algebra A that defines an action of F on A when A is isomorphic to the quotient B/pB, with B torsion-free Z-algebra, are ...
Restuccia, G, Crupi, M
doaj   +1 more source

Reducibility of Polynomials Over Algebraic Number Fields

Integers, 2017
See the abstract in the attached pdf.
Patiwat Singthongla, Narakorn Rompurk Kanasri, Vichian Laohakosol   +2 more
openaire   +3 more sources

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

Advanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang, Pengyi Feng, Fei Han, Weijin Chen, Zhongwei Jin, Jincheng Ni, Yuanjie Yang, Anxue Zhang, Guy A. E. Vandenbosch, Niels Verellen, Ewald Janssens, Jiafu Wang, Benfeng Bai, Cheng‐Wei Qiu, Xuezhi Zheng   +14 more
wiley   +1 more source

Electroforming‐Free, Self‐Rectifying Selector‐Only Memory With Diffusive Cu‐Ion Dynamics for Logic‐In‐Memory Computing

Advanced Science, EarlyView.
Electroforming‐free, self‐rectifying switching with polarity‐dependent threshold modulation is realized in selector‐only memory through Cu‐ion migration in a bilayer stacked dual functional materials. Ultrafast rupturing of Cu filament enables drift‐free operation with high stability.
Jae‐Kyeong Kim, Dae‐Seong Woo, Min‐Jong Han, Hong‐Gwang Seo, Gwang‐Ho Park, In‐Taek Woo, Jea‐Gun Park, Jinsub Park   +7 more
wiley   +1 more source

On the structure of Leibniz algebras, whose subalgebras are ideals or core-free

Доповiдi Нацiональної академiї наук України
An algebra L over a field F is said to be a Leibniz algebra (more precisely, a left Leibniz algebra), if it satisfies the Leibniz identity: [[a, b], c] = [a, [b, c]] — [b, [a, c]] for all a, b, c ∈ L. Leibniz algebras are generalizations of Lie algebras.
V.A. Chupordia, L.A. Kurdachenko, N.N. Semko   +2 more
doaj   +1 more source