Results 81 to 90 of about 61,050 (267)
Similarity solutions for strong shocks in a non-ideal gas
A group theoretic method is used to obtain an entire class of similarity solutions to the problem of shocks propagating through a non-ideal gas and to characterize analytically the state dependent form of the medium ahead for which the problem is ...
Rajan Arora, Amit Tomar, Ved Pal Singh
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Lie inner ideals are nearly Jordan inner ideals [PDF]
In this note we extend the Lie inner ideal structure of simple Artinian rings developed by Benkart to centrally closed prime algebras A A . New Lie inner ideals, which we call nonstandard, occur when making this extension. A necessary and sufficient condition for A A to have a nonstandard inner ideal is the existence ...
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Modulating Electrochemical CO2 Reduction Pathways via Interfacial Electric Field
Engineering interfacial electric fields in Cu/ITO electrodes enables precise control of CO2 reduction pathways. Charge transfer from Cu to ITO generates positively charged Cu species that steer selectivity from ethylene toward methane. This work demonstrates how interfacial electric‐field modulation can direct reaction intermediates and transform ...
Mahdi Salehi +7 more
wiley +1 more source
Vague Lie Ideals of Lie Algebras
In this paper, we have introduced the notion of vague Lie ideal and have studied their related properties. The cartesian products of vague Lie ideals are discussed. In particular, the Lie homomorphisms between the vague Lie ideals of a Lie algebra and the relationship between the domains and the co-domains of the vague Lie ideals under these Lie ...
Saeid, A., Williams, P.
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Lie Ideal Enhancements of Counting Invariants
We define enhancements of the quandle counting invariant for knots and links with a finite labeling quandle Q embedded in the quandle of units of a Lie algebra \mathfrak{a} using Lie ideals. We provide examples demonstrating that the enhancement is stronger than the associated unenhanced counting invariant.
Grindstaff, Gillian Roxanne, Nelson, Sam
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Positive‐Tone Nanolithography of Antimony Trisulfide with Femtosecond Laser Wet‐Etching
A butyldithiocarbamic acid (BDCA) etchant is used to fabricate various micro‐ and nanoscale structures on amorphous antimony trisulfide (a‐Sb2S3) thin film via femtosecond laser etching. Numerical analysis and experimental results elucidate the patterning mechanism on gold (reflective) and quartz (transmissive) substrates.
Abhrodeep Dey +12 more
wiley +1 more source
The Core of Inner ideal of Real Four Dimensional Lie Algebra With One Dimensional Derived
Suppose that V is any inner ideal of L. The core of V is an inner ideal of L with special requirement. In this paper we prove. If L is a 4-dimension Lie algebra a with 1-dimensional derived , then the core of every inner ideal of L is zero. Moreover L
jaafar sadiq
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Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness
Based on classical Lie Group method, we construct a class of explicit solutions of two-dimensional ideal incompressible magnetohydrodynamics (MHD) equation by its infinitesimal generator. Via these explicit solutions we study the uniqueness and stability
Fu-zhi Li +3 more
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Resurgence and Waldschmidt constant of the ideal of a fat almost collinear subscheme in P2
Let Zn=p0+p1+...+pn be a configuration of points in P2, where all points pi except p0 lie on a line, and let I(Zn) be its corresponding homogeneous ideal in K[P2]. The resurgence and the Waldschmidt constant of I(Zn) in [5] have been computed.
Hassan Haghighi +2 more
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Nilpotency and generalized Lie ideals
The authors generalize the notion of inner Lie ideal, defined by \textit{G. M. Benkart} [J. Algebra 43, 561-584 (1976; Zbl 0342.16009)], to that of generalized Lie ideal (GLI), and prove a structure theorem for such objects. For a nonempty subset V of a ring R, set \(V^{(1)}(R)=[V,R]\), and in general, \(V^{(n+1)}(R)=[V,V^{(n)}(R)]\).
Martindale, W.S, Miers, C.Robert
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