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
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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
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Cryptography using Automata Theory [PDF]
ITM Web of Conferences, 2022 Encryption and decryption are the two most crucial components of cryptography. Data protection is the main objective of both systems. We utilised encryption to transform plain text into ciphertext.
Vayadande Kuldeep +4 more
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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
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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
Journal of Mathematics, 2021 Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
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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
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Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions.
Kuldib Raj +2 more
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments
Journal of Mathematics, 2022 In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
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An Application of the t-Extension of the p-Fibonacci Pascal Matrix in Coding Theory
Advances in Mathematical Physics, 2022 We consider the t-extension of the p-Fibonacci Pascal matrix. First, we study the k-th power of the t-extension of the p-Fibonacci lower and upper triangular Pascal matrix.
Elahe Mehraban, Mansour Hashemi
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