Results 81 to 90 of about 3,162,927 (375)
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
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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 đœ with q elements. In the case of q â„ 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
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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 templateâassisted selfâassembly methods. Precise design strategies achieve directional emission, lowâthreshold lasing, and tunable photonic bandgaps.
Sezer Seçkin +2 more
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Dopantâfree passivating contacts for crystalline silicon solar cells: Progress and prospects
EcoMat, Volume 5, Issue 2, February 2023., 2023 This article provides an overview of the mechanism and materials of dopantâfree passivating contacts for crystalline silicon solar cells, and focuses on the recent advances in contact configuration and interface engineering for efficiency and stability enhancement.
Yanhao Wang +5 more
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Structure Theorems for Basic Algebras [PDF]
, 2011 A basic finite dimensional algebra over an algebraically closed field $k$ is isomorphic to a quotient of a tensor algebra by an admissible ideal. The category of left modules over the algebra is isomorphic to the category of representations of a finite ...
Berg, Carl Fredrik
core
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
Enhancing the Efficiency of Polariton OLEDs in and Beyond the SingleâExcitation Subspace
Advanced Optical Materials, EarlyView.Organic lightâemitting diodes (OLEDs) are transforming lighting with ecoâfriendly manufacturing and flexible applications. However, since 75 % of excited states (triplets) are nonâemissive, recent research has focused on triplet harvesting. This work proposes a predictive polaritonâbased model, exploring conditions for OLED enhancement and showing that
Olli Siltanen +3 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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Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
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Free Malcev algebra of rank three
, 2016 We find a basis of the free Malcev algebra on three free generators over a field of characteristic zero. The specialty and semiprimity of this algebra are proved.
Alexandr I. Kornev +11 more
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