Results 191 to 200 of about 886,706 (230)

Ideals in Triangular Af Algebras

Proceedings of the London Mathematical Society, 1994
An ideal \(\mathcal J\) is said to be join-irreducible if whenever \({\mathcal J}= {\mathcal F}\lor {\mathcal G}\) for ideals \(\mathcal F\) and \(\mathcal G\), then either \({\mathcal F}= {\mathcal J}\) or \({\mathcal G}= {\mathcal J}\). We study the class of join- irreducible ideals in those strongly maximal triangular UHF algebras which arise as ...
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Polynomial identities for the Jordan algebra of 2 × 2 upper triangular matrices

Journal of Algebra, 2021
D. Gonçalves, P. Koshlukov, M. E. Salomão   +2 more
semanticscholar   +1 more source

IMBEDDING OF ALGEBRAS IN ALGEBRAS OF TRIANGULAR MATRICES

Mathematics of the USSR-Sbornik, 1980
It is proved in the paper that an algebra which satisfies identities of the form ??is imbeddable in the algebra of triangular matrices over a commutative algebra . This permits us to answer both the question due to L. Small concerning the imbeddability of an arbitrary nilpotent algebra in a matrix algebra over a commutative algebra and the question ...
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The images of multilinear polynomials on 2 × 2 upper triangular matrix algebras

Linear and multilinear algebra, 2019
The purpose of this paper is to describe the images of non-commutative multilinear polynomials on upper triangular matrix algebras.
Yu Wang
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ON LIE DERIVATIONS OF TRIANGULAR ALGEBRAS

Rocky Mountain Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Lei, Li, Kaipeng
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σ-Centralizers of Triangular Algebras

Ukrainian Mathematical Journal, 2023
M. Ashraf, M. Ansari
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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 $x, y \in A$.
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Centralizers of Lie Structure of Triangular Algebras

Results in Mathematics, 2022
B. Fadaee, A. Fošner, H. Ghahramani
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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
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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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