Results 261 to 270 of about 3,271,968 (288)

Commuting traces of upper triangular matrix rings

Aequationes mathematicae, 2017
Let \(R\) be a unital ring with \(\frac{1}{2}\in R\), and \(T_{n}(R)\), \(n\geq3\), the upper triangular matrix ring over \(R\). Let \(B:T_{n}(R)\times T_{n}(R)\to T_{n}(R)\) be a biadditive map, and \(q:T_{n}(R)\to T_{n}(R)\) the trace of \(B\), i.e., \(q(X)=B(X,X)\) for all \(X\in T_{n}(R)\).
openaire   +2 more sources

The Waring problem for upper triangular matrix algebras

Canadian Journal of Mathematics
AbstractOur goal of the paper is to investigate the Waring problem for upper triangular matrix algebras, which gives a complete solution of a conjecture proposed by Panja and Prasad in 2023.
Chen, Qian, Wang, Yu
openaire   +2 more sources

The second-kind involutions of upper triangular matrix algebras

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
. We provide a criterion for the equivalency of the second-kind involutions of upper triangular matrix algebras over commutative rings. For an algebra Tn(F ) of upper triangular matrices over a field F it is proven that two involutions are equivalent if and only if they coincide after restriction to F .
openaire   +1 more source

Semicentral idempotents of upper triangular matrix rings

Journal of Algebra and Its Applications
In this paper, we describe the necessary and sufficient conditions for upper triangular [Formula: see text] matrix over a ring to be left (right) semicentral idempotent. Circle compositions of left and right semicentral idempotent matrices ([Formula: see text]) are considered.
openaire   +1 more source

The Images of Completely Homogeneous Polynomials on 2 × 2 Upper Triangular Matrix Algebras

Algebras and Representation Theory, 2021
Yu Wang
exaly  

On the Cayley graphs of upper triangular matrix rings

2018
The authors define a Cayley digraph on upper triangular matrices over a ring, and prove a number of properties about this very specific family of digraphs (diameter, planarity, girth, etc.). No real motivation is provided for the particular connection set or the vertex set they choose.
Moosavi, Nazila Vaez, Khashyarmanesh, Kazem, Mohammadikhah, Sadegh, Afkhami, Mojgan   +3 more
openaire   +1 more source

K i of Upper Triangular Matrix Rings

Proceedings of the American Mathematical Society, 1976
R. Keith Dennis, Susan C. Geller
openaire   +1 more source

Images of Multilinear Graded Polynomials on Upper Triangular Matrix Algebras

Canadian Journal of Mathematics, 2023
Plamen Koshlukov
exaly  

Group Gradings on Upper Triangular Matrices

Archiv Der Mathematik, 2007
Angela Valenti
exaly  

On the Perturbations of Spectra of Upper Triangular Operator Matrices

Journal of Mathematical Analysis and Applications, 2008
Mohamed Barraa
exaly