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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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Complexity, 2023 The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance-based, degree-distance-based, and degree-based topological indices.
Sourav Mondal +3 more
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On strong orthogonal systems and weak permutation polynomials over finite commutative rings
Finite Fields and Their Applications, 2007 Let \(f_1, \dots, f_k\) be \(k\) polynomials in \(n\) variables over a finite commutative ring \(R\). If they induce a uniform map from \(R^n\) to \(R^k\) then they are said to form a weak orthogonal system over \(R\) and they are said to form a strong orthogonal system over \(R\) if there additionally exist polynomials \(f_{k+1},\dots, f_n\) such that
Wei, Qijiao, Zhang, Qifan
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Polynomial functions and permutation polynomials over some finite commutative rings
Journal of Number Theory, 2004 The author considers rings of integers over \(p\)-adic fields to obtain results on permutation polynomials. Some involve simplifications of the proofs of classical results, while others involve new interpretations of permutation polynomials in terms of Witt polynomials, for instance.
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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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Skew Constacyclic Codes over a Non-Chain Ring. [PDF]
Entropy (Basel), 2023 Köroğlu ME, Sarı M.
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Topological Noetherianity of polynomial functors II: base rings with Noetherian spectrum. [PDF]
Math Ann, 2023 Bik A, Danelon A, Draisma J.
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Unlikely intersections on the p-adic formal ball. [PDF]
Res Number Theory, 2023 Serban V.
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A Formalization of the Smith Normal Form in Higher-Order Logic. [PDF]
J Autom Reason, 2022 Divasón J, Thiemann R.
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