Results 1 to 10 of about 183 (119)

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   +1 more source

Nonassociative Algebras, Rings and Modules over Them

Mathematics, 2023
The review is devoted to nonassociative algebras, rings and modules over them. The main actual and recent trends in this area are described. Works are reviewed on radicals in nonassociative rings, nonassociative algebras related with skew polynomials ...
Sergey Victor Ludkowski
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Polynomial rings over commutative reduced Hopfian local rings [PDF]

Acta Mathematica Hungarica, 2017
7 pages, no ...
Dhorajia, A. M., Mukherjee, H.
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Polynomial Rings Over Goldie-Kerr Commutative Rings [PDF]

Proceedings of the American Mathematical Society, 1994
All rings in this paper are commutative, and acc ⁡ ⊥ \operatorname {acc} \bot (resp., acc ⊕ \operatorname {acc} \, \oplus ) denotes the acc on annihilators (resp., on direct sums of ideals).
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Polynomial rings over Goldie-Kerr commutative rings II [PDF]

Proceedings of the American Mathematical Society, 1996
An overlooked corollary to the main result of the stated paper (Proc. Amer. Math. Soc. 120 (1994), 989–993) is that any Goldie ring R R of Goldie dimension 1 has Artinian classical quotient ring Q Q , hence is a Kerr ring in the sense that the polynomial ring R [ X ] R[X]
openaire   +2 more sources

Graded near-rings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana, Năstăsescu Laura, Toader Bogdan   +2 more
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Polynomial rings over non-commutative rings

Publicacions Matemàtiques, 1984
In continuing investigations of \textit{L. Small} [J. Algebra 4, 13-41 (1966; Zbl 0147.287); ibid. 9, 266-273 (1968; Zbl 0164.039)] and \textit{R. C. Shock} [Pac. J. Math. 42, 251-257 (1972; Zbl 0213.043)] the author proves that if I is any index set, a ring R is a right order in a P-ring if and only if \(S=R[x_{\alpha}]_{\alpha \in I}\) is a right ...
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Polynomial Rings Over a Commutative von Neumann Regular Ring [PDF]

Proceedings of the American Mathematical Society, 1975
It is shown that the annihilator of each finitely generated ideal of R [ { X λ } λ ∈ Λ ] R[{\{ {X_\lambda }\} _{\lambda \in \Lambda ...
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A note on Computing SAGBI-Grobner bases in a Polynomial Ring over a Field [PDF]

Computer Science Journal of Moldova, 2006
In the paper [2] Miller has made concrete Sweedler's theory for ideal bases in commutative valuation rings (see [5]) to the case of subalgebras of a polynomial ring over a field, the ideal bases are called SAGBI-Grobner bases in this case.
Hans Ofverbeck
doaj  

Polynomial functions over finite commutative rings

Theoretical Computer Science, 2017
Let \(R\) be a finite, commutative, unital ring. A polynomial \(p\in R[x]\) naturally induces a function \(p_f:R\rightarrow R\) by substitution. A function \(f:R\rightarrow R\) is a polynomial function if there exists a polynomial \(p_f\in R[x]\) such that \(p_f(r) = f(r)\) for every \(r\in R\). A ring is local if it has a unique maximal ideal.
Bulyovszky, Balázs, Horváth, Gábor
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