Results 101 to 110 of about 1,189 (299)
Automophisms of Nil-Triangular Subrings of Algebras Chevalley Type $G_2$ Over Integral Domain. I
Let $N\Phi(K)$ be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring $K$ with the identity associated with a root system $\Phi$.
A. V. Kazakova
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Complexity of triangular representations of algebraic sets
Triangular decomposition is one of the standard ways to represent the radical of a polynomial ideal. A general algorithm for computing such a decomposition was proposed by A. Szanto. In this paper, we give the first complete bounds for the degrees of the polynomials and the number of components in the output of the algorithm, providing explicit ...
Eli Amzallag +3 more
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Higher derivations of triangular algebras and its generalizations
Let R be a commutative ring with identity, A and B be unital algebras over R and M be a unital (it A,it B)-bimodule. Let T=AM0B be the triangular algebra consisting of A, it Band M.
Xiao, Zhankui +3 more
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White light emitting molecular logic gates
White light emitting smart molecules with Boolean logic computing ability are surveyed. Abstract White light emitting (WLE) materials are of considerable interest with commercial and societal applications in video displays and lighting devices. A characteristic property of WLE materials is the luminescence profile spanning from 380 to 700 nm.
Davide Benedetto Tiz +2 more
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Involutions for upper triangular matrix algebras
The first result in the paper under review is the description of the involutions of the first kind (which fix the centre) of the algebra \(UT_n(F)\) of \(n\times n\) upper triangular matrices over a field of characteristic different from 2. The authors show that, up to isomorphism of algebras with involution, there are two types of involutions.
Onofrio Mario Di Vincenzo +2 more
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Some linear preserver problems on block triangular matrix algebras
In this article we classify rank-one nonincreasing maps ψ on n-square block triangular matrix algebras with the assumption that ψ(In) is of rank n. As applications, we obtain complete classifications of adjugate-commuting maps, and compound-commuting ...
Chooi, Wai-Leong, Lim, Ming-Huat
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Hydrogen‐based direct reduced iron (H‐DRI) melts differently from scrap and carbon‐bearing DRI. This work combines differential scanning calorimetry experiments, FactSage thermodynamics, and simple composition‐based regression to predict solidus, liquidus, heat capacity, and enthalpy for H‐DRI.
Ankur Agnihotri +3 more
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Lie Bialgebra Structures and Quantization of Generalized Loop Planar Galilean Conformal Algebra
In this paper, we analyze the Lie bialgebra (LB) and quantize the generalized loop planar-Galilean conformal algebra (GLPGCA) W(Γ). Additionally, we prove that all LB structures on W(Γ) possess a triangular coboundary.
Yu Yang, Xingtao Wang
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Infinite lexicographic products of triangular algebras.
Some new connections are given between linear orderings and triangular operator algebras. A lexicographic product is denned for triangular operator algebras, and the Jacobson radical of an infinite lexicographic product of upper triangular matrix ...
Power, S. C.
core
Lie higher derivations on triangular algebras revisited
Motivated by the extensive works of W.-S. Cheung [Linear Multilinear Algebra, 51 (2003), 299-310] and X.F. Qi [Acta Math. Sinica, English Series, 29 (2013), 1007-1018], we present the structure of Lie higher derivations on a triangular algebra ...
F. Moafian, Ebrahimi Vishki
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