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Complete triangular structures and Lie algebras

International Journal of Computer Mathematics, 2011
In 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
openaire   +1 more source

σ-Centralizers of Triangular Algebras

Ukrainian Mathematical Journal, 2023
M. Ashraf, M. Ansari
semanticscholar   +1 more source

Tame Triangular Matrix Algebras Over Nakayama Algebras

Journal of the London Mathematical Society, 1986
Recall 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.
openaire   +2 more sources

Centralizers of Lie Structure of Triangular Algebras

Results in Mathematics, 2022
B. Fadaee, A. Fošner, H. Ghahramani
semanticscholar   +1 more source

STRONGLY MAXIMAL TRIANGULAR AF ALGEBRAS

International Journal of Mathematics, 1991
We 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
openaire   +1 more source

Triangular Decomposition for Algebraic and Geometric Computing

2008 10th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2008
In 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
openaire   +1 more source

The images of polynomials on 3 × 3 upper triangular matrix algebras

Linear Algebra and its Applications, 2022
Qianwang Chen, Yingyu Luo, Yu Wang
semanticscholar   +1 more source

Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices

Linear and Multilinear Algebra, 2021
Ronald Ismael Quispe Urure   +1 more
exaly  

Generalized Lie (Jordan) Triple Derivations on Arbitrary Triangular Algebras

Bulletin of the Malaysian Mathematical Sciences Society, 2021
M. Ashraf, Mohd Shuaib Akhtar, M. Ansari
semanticscholar   +1 more source

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