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$��$-Mappings of triangular algebras

2013
Let $A$ be an algebra and $ $ an automorphism of $A$. A linear map $d$ of $A$ is called a $ $-derivation of $A$ if $d(xy) = d(x)y + (x)d(y)$, for all $x, y \in A$. A linear map $D$ is said to be a generalized $ $-derivation of $A$ if there exists a $ $-derivation $d$ of $A$ such that $D(xy) = D(x)y + (x)d(y)$, for all $x, y \in A$.
openaire   +1 more source

σ-Centralizers of Triangular Algebras

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

Involutions in Algebras of Upper-Triangular Matrices

Russian Mathematics (Izvestiya VUZ. Matematika), 2023
I. A. Kulguskin, D. T. Tapkin
semanticscholar   +1 more source

Centralizers of Lie Structure of Triangular Algebras

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

On the Closure of Triangular Algebras

American Journal of Mathematics, 1990
The author constructs triangular algebras in the hyperfinite \(II_ 1\) factor and in \(B(H)\) whose norm closures are not triangular. These examples answer the question about triangular algebras in the negative.
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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

Variational algorithms for linear algebra

Science Bulletin, 2021
Xiaosi Xu, Jinzhao Sun, Suguru Endo
exaly  

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