Results 111 to 120 of about 276,249 (270)
Finite Comparison Algebras for Motivic Projectors and Triangular Stability
We study a finite-stage criterion for representing auxiliary or motivated idempotents by ordinary motivic projectors. To a fixed finite list of operations on a motive M we attach a finite comparison algebra EΓ(M), a finite-dimensional ordinary comparison
Jiaming Luo
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Gradings on the algebra of triangular matrices as a Lie algebra: Revisited
We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the same authors. We provide streamlined proofs, and present a complete classification of isomorphism classes of the gradings.
Plamen Koshlukov +1 more
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Characterizations of Lie derivations of triangular algebras
A triangular algebra \(T=T(A,X,B)\) has the form of an upper triangular matrix ring with elements having diagonal entries in \(A\) and \(B\) and upper right entries in \(X\); \(A\) and \(B\) are unital algebras over a commutative ring \(R\) with 1, and \(X\) is an \(A\)-\(B\)-bimodule that is faithful on each side. The center of \(T\) is \(Z(T)=\{\text{
Ji, Peisheng, Qi, Weiqing
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Polynomial‐shaped electrodes for adaptive X‐ray optics
A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
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Triangular matrix algebras over quasi-hereditary algebras
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Moderate retention forestry creates structurally sharp forest edges that act as ecological filters, shaping orientation‐specific activity of ground‐dwelling arthropods. Using drift‐fence pitfall traps, we show that activity aligned with ecotones is more frequent than activity across forest–clearcut boundaries, particularly among detritivores.
Dominik Stočes +3 more
wiley +1 more source
Tame triangular matrix algebras [PDF]
We describe all finite-dimensional algebras A over an algebraically closed field for which the algebra $T_2(A)$ of 2×2 upper triangular matrices over A is of tame representation type.
Leszczyński, Zbigniew +1 more
core
Welcome to the jangle (fallacy): The case of statistics and mathematics anxieties
Abstract Background Statistics‐related anxiety is a common barrier to learning in higher education, particularly for psychology and other non‐specialist students. High prevalence rates are concerning because statistical literacy is integral to academic success, employability and informed citizenship.
Jenny Terry, Charlie Lea, Andy P. Field
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On Weak Generalized Amenability of Triangular Banach Algebras
Let A1, A2 be unital Banach algebras and X be an A1 − A2− module. Applying the concept of module maps, (inner) module generalized derivations and generalized first cohomology groups, we present several results concerning the relations between module ...
M. Mosadeq
doaj
Automorphisms of free braided nonassociative algebras of rank 2
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip +2 more
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