Results 21 to 30 of about 1,801,897 (347)
Proceedings of the American Mathematical Society, 1970 For aii algebra R over a field k, with residue field K to be a ring of polyniomials in one variable over k it is necessary that trdeg K/k = 1. We prove that under the hypothesis tr* deg K/k -1, R is a ring of Krtull-dimension at most one. This is used to derive sufficient conditions for R to be a ring of polynomials in one variable over k. 1.
Evyatar, A., Zaks, A.
openaire +2 more sources
Big polynomial rings and Stillman’s conjecture [PDF]
Inventiones Mathematicae, 2018 Ananyan-Hochster's recent proof of Stillman's conjecture reveals a key principle: if $f_1, \dots, f_r$ are elements of a polynomial ring such that no linear combination has small strength then $f_1, \dots, f_r$ behave approximately like independent ...
D. Erman, Steven V. Sam, Andrew Snowden
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The Applications of Algebraic Polynomial Rings in Satellite Coding and Cryptography [PDF]
Mathematics Interdisciplinary Research, 2022 This survey illustrates and investigates the application of polynomial rings over finite fields to generate PRN codes for Global Navigation Satellite System (GNSS) satellites.
Amir Bagheri, Hassan Emami
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A Combinatorial Model for the Decomposition of Multivariate Polynomial Rings as $S_n$-Modules [PDF]
Electronic Journal of Combinatorics, 2019 We consider the symmetric group $S_n$-module of the polynomial ring with $m$ sets of $n$ commuting variables and $m'$ sets of $n$ anti-commuting variables and show that the multiplicity of an irreducible indexed by the partition $\lambda$ (a partition of
R. Orellana, M. Zabrocki
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Evaluation and interpolation over multivariate skew polynomial rings [PDF]
Journal of Algebra, 2017 In this work, we extend the concepts of evaluation and interpolation from univariate skew polynomials to multivariate skew polynomials. To extend these concepts in a natural way, we consider multivariate skew polynomial rings whose multiplication is ...
Umberto Mart'inez-Penas, F. Kschischang
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New semifields and new MRD codes from skew polynomial rings [PDF]
Journal of the London Mathematical Society, 2018 In this article, we construct a new family of semifields, containing and extending two well‐known families, namely Albert's generalised twisted fields and Petit's cyclic semifields (also known as Johnson–Jha semifields).
John Sheekey
semanticscholar +1 more source
Big Polynomial Rings with Imperfect Coefficient Fields [PDF]
The Michigan mathematical journal, 2018 We previously showed that the inverse limit of standard-graded polynomial rings with perfect coefficient field is a polynomial ring, in an uncountable number of variables. In this paper, we show that the same result holds with arbitrary coefficient field.
D. Erman, Steven V. Sam, Andrew Snowden
semanticscholar +1 more source
Small subalgebras of polynomial rings and Stillman’s Conjecture [PDF]
Journal of The American Mathematical Society, 2016 Let n , d , η n, d, \eta be positive integers. We show that in a polynomial ring R R in N N variables over an algebraically closed field K K of ...
Tigran Ananyan, M. Hochster
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Lim Ulrich sequences and Boij-Söderberg cones
Forum of Mathematics, Sigma, 2023 This paper extends the results of Boij, Eisenbud, Erman, Schreyer and Söderberg on the structure of Betti cones of finitely generated graded modules and finite free complexes over polynomial rings, to all finitely generated graded rings admitting linear ...
Srikanth B. Iyengar +2 more
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Endo-Noetherian Skew Generalized Power Series Rings [PDF]
Assiut University Journal of Multidisciplinary Scientific Research, 2023 Endo-Noetherian modules were introduced by A. Kaidi and E. Sanchez] as a generalization of Noetherian modules. A left Ɍ-module M which satisfies the ascending chain condition for endomorphic kernels is said to be endo-Noetherian.
Ramy Abdel-Khaleq +2 more
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