Results 71 to 80 of about 3,220,446 (374)
Orbital Topology of Chiral Crystals for Orbitronics
Advanced Materials, EarlyView.Chirality is ubiquitous in nature and constitutional for life. In chiral materials the intrinsic handedness, defined by their crystal structure, becomes a main driver for a novel electronic topology that is based on the orbital angular momentum rather than the electron spin.
Kenta Hagiwara +16 more
wiley +1 more source
An elementary approach to the model structure on DG-Lie algebras [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2023 This paper contains an elementary proof of the existence of the classical model structure on the category of unbounded DG-Lie algebras over a field of characteristic zero, with an emphasis on the properties of free and semifree extensions, which are ...
Emma Lepri
doaj
Comma vertex and string field algebra [PDF]
, 2001 We study the matter part of the algebra of open string fields using the 3-string vertex over the sliver state, which we call ``comma vertex''. By generalizing this comma vertex to the N-string overlap, we obtain a closed form of the Neumann coefficients ...
K. Furuuchi, Kazumi Okuyama
semanticscholar +1 more source
Topology in Biological Piezoelectric Materials
Advanced Materials, EarlyView.This review summarizes the topological structures in biological piezoelectric materials, covering morphology evolution, spatial arrangement, and biomimetic strategies. These topologies modulate structure‐property relationships across multiple scales, enabling performance enhancement and multifunctional integration.
Chen Chen +7 more
wiley +1 more source
Kemer's Theorem for Affine PI Algebras Over a Field of Characteristic Zero [PDF]
Journal of Pure and Applied Algebra Volume 220, Issue 8, August
2016, Pages 2771-2808, 2015 We present a proof of Kemer's representability theorem for affine PI algebras over a field of characteristic zero.
arxiv +1 more source
Algebras of operators in Banach spaces over the quaternion skew field and the octonion algebra [PDF]
, 2006 The article is devoted to quasilinear operators in spaces over quaternions and octonions. Spectral theory of bounded and unbounded operators is investigated. Analogs of C^* algebras are defined and studied.
S. Ludkovsky
semanticscholar +1 more source
The Picard group of algebras over an algebraically nonclosed field
Journal of Pure and Applied Algebra, 2011 AbstractLet k be a field that is not algebraically closed, and let A be a k-algebra, whose each maximal ideal has residue field k. We prove that each element of the Picard group of A is of finite order and give an optimal upper bound for its order.
Wojciech Kucharz, Kamil Rusek
openaire +2 more sources
ASSOCIATIVE NIL-ALGEBRAS OVER FINITE FIELDS [PDF]
International Journal of Algebra and Computation, 2013 We study the nilpotency degree of a relatively free finitely generated associative algebra with the identity xn = 0 over a finite field 𝔽 with q elements. In the case of q ≥ n the nilpotency degree is proven to be the same as in the case of an infinite field of the same characteristic.
Artem Lopatin, Ivan P. Shestakov
openaire +3 more sources
Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices
Advanced Materials Interfaces, EarlyView.This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
wiley +1 more source
$\mathbf {5 \times 5}$ -graded Lie algebras, cubic norm structures and quadrangular algebras
Forum of Mathematics, SigmaWe study simple Lie algebras generated by extremal elements, over arbitrary fields of arbitrary characteristic. We show the following: (1) If the extremal geometry contains lines, then the Lie algebra admits a $5 \times 5$ -grading that can be ...
Tom De Medts, Jeroen Meulewaeter
doaj +1 more source