Results 1 to 10 of about 3,969,169 (246)
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
Jordan Left Derivations in Full and Upper Triangular Matrix Rings [PDF]
Electronic Journal of Linear Algebra, 2010 In this paper, left derivations and Jordan left derivations in full and upper triangular matrix rings over unital associative rings are characterized.
Xiao-Wei Xu, Hong-Ying Zhang
exaly +4 more sources
Harary index of the zero divisor graph of upper triangular matrices [PDF]
Scientific ReportsThe 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 +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
On the Characterization of the Unitary Cayley Graphs of the Upper Triangular Matrix Rings
SymmetryThere are several graphs naturally associated with rings. The unitary Cayley graph of a ring R is the graph with vertex set R, where two elements x,y∈R are adjacent if and only if x−y is a unit of R. We show that the unitary Cayley graph CTn(F) of the ring Tn(F) of all upper triangular matrices over a finite field F is isomorphic to a semistrong ...
Waldemar Holubowski
exaly +2 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 +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