Results 171 to 180 of about 18,021 (212)
Blockchain-Based Trusted Data Management with Privacy Preservation for Secure IoT Systems. [PDF]
Sensors (Basel)Zhou H, Gao H, Ma Z, Lai G.
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On Separable Polynomials and Skew Polynomial Rings (Skew Polynomial Rings, Group Rings and Related Topics)openaire
On the Endomorphisms of a Polynomial Ring
Canadian Journal of Mathematics, 1976 This paper arises in the attempt to solve the following problem related to the Zariski Problem. Let A be a polynomial ring in three variables over a field, . Suppose there is a subring B of A such that k ⊆ B and there is variable t over B such that B[t] = A. Then is it true that B is a polynomial ring over k?
John David
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On Radicals of Polynomial Rings
Acta Mathematica Hungarica, 2014Let \(A[X_n]\) be the ring of \(n\geq 0\) commutative independent variables over an associative ring \(A\), where \(A[X_0]=A\) and \(A[X_1]=A[x]\). Let \(R\) be a radical in the sense of Kurosh and Amitsur. If \(R(A)=A\), then we write \(A\in R\). The semisimple class of the radical class \(R\) will be denoted by \(SR\). The aim in the present paper is
Márki, L., Tumurbat, S.
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ACCP Rises to the Polynomial Ring if the Ring has Only Finitely Many Associated Primes
Communications in Algebra, 2004 Frohn D. ACCP rises to the polynomial ring if the ring has only finitely many associated primes. COMMUNICATIONS IN ALGEBRA. 2004;32(3):1213-1218.We show for a commutative ring R with unity: If R satisfies the ascending chain condition on principal ideals
Frohn, Daniel
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ON THE CONNECTION BETWEEN DIFFERENTIAL POLYNOMIAL RINGS AND POLYNOMIAL RINGS OVER NIL RINGS
Bulletin of the Australian Mathematical Society, 2019In this paper, we study some connections between the polynomial ring $R[y]$ and the differential polynomial ring $R[x;D]$. In particular, we answer a question posed by Smoktunowicz, which asks whether $R[y]$ is nil when $R[x;D]$ is nil, provided that $R$ is an algebra over a field of positive characteristic and $D$ is a locally nilpotent derivation.
LOUISA CATALANO, MEGAN CHANG-LEE
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On the hopficity of the polynomial rings
Proceedings of the Indian Academy of Sciences - Section A, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a Result in Polynomial Rings
Mathematical Proceedings of the Cambridge Philosophical Society, 1960Let denote the polynomial algebra over the integers in countably many variables ui (i ≥ 1). Let ∂ be the derivation of defined on the generators by. Thus if is graded by dim ui=i, then∂ is homogeneous, of degree − 1. The result is that ∂ is onto, and that its kernel is a polynomial algebra in , where is homogeneous of degree i and the coefficient ...
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