Results 71 to 80 of about 993,288 (305)
On ideals of free lie algebras
Journal of Pure and Applied Algebra, 1987 It is proved that in a free Lie algebra a nontrivial ideal which has infinite rank may be the whole algebra under certain conditions. It is proved that if F is a free Lie algebra of rank \(> 1\) and L a subalgebra of F such that \(L\supseteq F_{2,2}\) then \(L/F_{2,2}\) is free metabelian if and only if there is a set \(Y\subseteq L\) which is linearly
openaire +4 more sources
Delta Ideals of Lie Color Algebras
Journal of Algebra, 1995 Let \(L\) be a Lie color algebra, possibly restricted, over a field \(K\) and graded by a finite abelian group \(G\). The authors show that if \(L\) has no nonzero elements with centralizers of countable codimension, then its enveloping algebra \(U(L)\) is ``symmetrically closed'' in the sense that it coincides with its symmetric Martindale quotient ...
Bergen, J., Passman, D.S.
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
On Inner Derivations of Leibniz Algebras
MathematicsLeibniz algebras are generalizations of Lie algebras. Similar to Lie algebras, inner derivations play a crucial role in characterizing complete Leibniz algebras.
Sutida Patlertsin +2 more
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An Implementation in C of an Algorithm for Construction of Finitely Presented Lie Superalgebras [PDF]
Computer Science Journal of Moldova, 1996 The purpose of this paper is to describe a C program FPLSA for investigating finitely presented Lie algebras and superalgebras. The program takes as input data a finite set of generators and relations for these elements.
V. Gerdt, V. Kornyak
doaj
Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology
Advanced Engineering Materials, EarlyView.We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham +7 more
wiley +1 more source
Wasit Journal for Pure Sciences— Inner ideal of the five-dimensional non-commutative Lie alge- bras over the real fields with two-dimensional derived were classified. It is proved that one, two, three and four-dimensional inner ideals are exist in every five-dimensional Lie algebra ...
mustafa shamkhi
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Some Results on Generalized α,β-Derivations in ∗-Prime Rings
International Journal of Mathematics and Mathematical Sciences, 2015 We extend some well known commutativity results concerning a nonzero square closed ∗-Lie ideal and generalized α,β-derivations of ∗-prime rings.
Muhammad Anwar Chaudhry +2 more
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Advanced Engineering Materials, EarlyView.Creep experiments at 900°C on coarse‐grained steel‐ceramic composites containing recycled magnesia reveal that higher ceramic volume fractions significantly enhance the creep resistance. Detailed EBSD investigations identify subgrain formation in the steel matrix as the dominant deformation mechanism.
Moritz Müller +6 more
wiley +1 more source