Results 1 to 10 of about 2,792 (117)

Functional identities on upper triangular matrix rings

Open Mathematics, 2020
Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
doaj   +3 more sources

Harary index of the zero divisor graph of upper triangular matrices [PDF]

Scientific Reports
The Harary Index is an important topological parameter for examining the structure of a graph. This work presents a quantitative analysis of the structural features of zero-divisor graph using the Harary Index.
Omaima Alshanqiti, Sahil Sharma, Vijay Kumar Bhat   +2 more
doaj   +2 more sources

Equalizing ideal for integer-valued polynomials over the upper triangular matrix ring [PDF]

ریاضی و جامعه, 2023
Let $D$ be an integral domain and $I$ be an ideal of the upper trangular matrix ring $T_{n}(D)$. In this paper, we study the equalizing ideal$$q_{I}=\{A\in T_n(D)|f(A)-f(0)\in I,\forall f\in {\operatorname{Int}}(T_n(D))\}.$$of the integer-valued ...
Ali Reza Naghipour
doaj   +2 more sources

Jordan homomorphisms of upper triangular matrix rings over a prime ring

Linear Algebra and Its Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Wang
exaly   +2 more sources

Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring

Linear Algebra and Its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Heng-Tai, Li, Qing-Guo
exaly   +3 more sources

CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS [PDF]

Journal of Algebraic Systems, 2023
In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is ...
Arindam Ghosh, Om Prakash
doaj   +1 more source

A CHARACTERIZATION OF BAER-IDEALS [PDF]

Journal of Algebraic Systems, 2014
An ideal I of a ring R is called right Baer-ideal if there exists an idempotent e 2 R such that r(I) = eR. We know that R is quasi-Baer if every ideal of R is a right Baer-ideal, R is n-generalized right quasi-Baer if for each I E R the ideal In is right
Ali Taherifar
doaj   +1 more source

𝐾ᵢ of upper triangular matrix rings [PDF]

Proceedings of the American Mathematical Society, 1976
Standard techniques are used to compute K i
R. Keith Dennis, Susan C. Geller
openaire   +1 more source

Recollements associated to cotorsion pairs over upper triangular matrix rings [PDF]

Publicationes Mathematicae Debrecen, 2021
Let $A$, $B$ be two rings and $T=\left(\begin{smallmatrix} A & M 0 & B \end{smallmatrix}\right)$ with $M$ an $A$-$B$-bimodule. Given two complete hereditary cotorsion pairs $(\mathcal{A}_{A},\mathcal{B}_{A})$ and $(\mathcal{C}_{B},\mathcal{D}_{B})$ in $A$-Mod and $B$-Mod respectively. We define two cotorsion pairs $(Φ(\mathcal{A}_{A},\mathcal{C}
Zhu, Rongmin, Peng, Yeyang, Ding, Nanqing   +2 more
openaire   +2 more sources

Nonlinear Lie Triple Higher Derivations on Triangular Algebras by Local Actions: A New Perspective

Axioms, 2022
Let R be a commutative ring with unity and T be a triangular algebra over R. Let a sequence Δ={δn}n∈N of nonlinear mappings δn:T→T is a Lie triple higher derivation by local actions satisfying the equation.
Xinfeng Liang, Dandan Ren, Qingliu Li
doaj   +1 more source