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Complete triangular structures and Lie algebras
International Journal of Computer Mathematics, 2011In this paper, we study the families of n-dimensional Lie algebras associated with a combinatorial structure made up of n vertices and with its edges forming a complete simple, undirected graph. Moreover, some properties are characterized for these structures using Lie theory, giving some examples and representations.
Manuel Ceballos +2 more
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σ-Centralizers of Triangular Algebras
Ukrainian Mathematical Journal, 2023M. Ashraf, M. Ansari
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Tame Triangular Matrix Algebras Over Nakayama Algebras
Journal of the London Mathematical Society, 1986Recall that each basic finite dimensional algebra A over an algebraically closed field k is a quotient of the path algebra \(kQ_ A\) of the finite quiver \((=\) oriented graph) \(Q_ A\) associated to A, modulo a certain ideal I contained in \(J^ 2\), where J is the Jacobson radical of A.
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Centralizers of Lie Structure of Triangular Algebras
Results in Mathematics, 2022B. Fadaee, A. Fošner, H. Ghahramani
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STRONGLY MAXIMAL TRIANGULAR AF ALGEBRAS
International Journal of Mathematics, 1991We consider strongly maximal triangular subalgebras of AF algebras. These are the triangular algebras [Formula: see text] such that [Formula: see text] is dense in the ambient AF algebra. We prove that every isometric isomorphism between two strongly maximal triangular subalgebras of the AF algebra [Formula: see text] factors as the composition of two
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Triangular Decomposition for Algebraic and Geometric Computing
2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2008In this talk, we present several algorithms for decomposing systems of multivariate polynomials into triangular systems of various kinds. The algorithms have been efficiently implemented and successfully applied to numerous problems of scientific computing, ranging over computational polynomial algebra, automated geometric reasoning, solving systems of
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The images of polynomials on 3 × 3 upper triangular matrix algebras
Linear Algebra and its Applications, 2022Qianwang Chen, Yingyu Luo, Yu Wang
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A note on cocharacter sequence of Jordan upper triangular matrix algebra
, 2017L. Centrone, Fabrizio Martino
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Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices
Linear and Multilinear Algebra, 2021Ronald Ismael Quispe Urure +1 more
exaly
Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras
Bulletin of the Malaysian Mathematical Sciences Society, 2021M. Ashraf, Mohd Shuaib Akhtar, M. Ansari
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