Results 41 to 50 of about 823,346 (364)
Quasi-tilted property of generalized lower triangular matrix algebras
Electronic Research ArchiveIn this paper, we investigated the generalized lower triangular matrix algebra, and gave the sufficient and necessary condition for the generalized lower triangular matrix algebra to be quasi-tilted.
Xiu-Jian Wang, Jia-Bao Liu
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Semisimple Triangular AF Algebras
Journal of Functional Analysis, 1993 Necessary and sufficient conditions for a triangular AF algebra to be semisimple are given. In particular, a triangular AF algebra which can be written using the standard embedding infinitely often is semisimple; also a semisimple triangular AF algebra is given which does not have a presentation of this form. If two triangular AF algebras have the same
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Triangular decomposition of semi-algebraic systems [PDF]
Journal of Symbolic Computation, 2010 8 pages, accepted by ISSAC ...
Chen, Changbo +5 more
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Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
Journal of Mathematics, 2022 In this paper, the strongly ad-nilpotent elements of the Lie algebra tn,ℂ of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in tn,ℂ are strongly ad-nilpotent if and only if n≤6. Additionally, we prove that all the
Zhiguang Hu
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Limit algebras and integer-valued cocycles, revisited
, 2016 A triangular limit algebra A is isometrically isomorphic to the tensor algebra of a C*-correspondence if and only if its fundamental relation R(A) is a tree admitting a $Z^+_0$-valued continuous and coherent cocycle.
Katsoulis, Elias, Ramsey, Chris
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Biderivations of triangular algebras
Linear Algebra and its Applications, 2009 Let \(C\) be a commutative ring with identity. A `triangular algebra' is every algebra of the form \[ \mathcal A=\text{Tri}(A,M,B) = \begin{pmatrix} A&M \\ 0&B\end{pmatrix}, \] where \(A\) and \(B\) are unital algebras over \(C\) and \(M\) is an \((A,B)\)-bimodule which is faithful as a left \(A\)-module as well as a right \(B\)-module.
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Solvable Leibniz algebras with triangular nilradicals [PDF]
, 2014 In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms.
Karimjanov, I. A. +2 more
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Solvable Lie algebras with triangular nilradicals
, 1998 All finite-dimensional indecomposable solvable Lie algebras $L(n,f)$, having the triangular algebra T(n) as their nilradical, are constructed. The number of nonnilpotent elements $f$ in $L(n,f)$ satisfies $1\leq f\leq n-1$ and the dimension of the Lie ...
Hausner M +19 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
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Combinatorial Hopf algebra of supercharacters of type D [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We provide a Hopf algebra structure on the supercharacter theory for the unipotent upper triangular group of type {D} over a finite field. Also, we make further comments with respect to types {B} and {C}. Type {A} was explored by M. Aguiar et. al (2010),
Carolina Benedetti
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