Results 11 to 20 of about 1,695,237 (310)
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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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
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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
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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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, 2011 In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Agboola A.A.A. +2 more
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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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Generalized Weyl algebras and diskew polynomial rings [PDF]
Journal of Algebra and its Applications, 2016 The aim of the paper is to extend the class of generalized Weyl algebras (GWAs) to a larger class of rings (they are also called GWAs) that are determined by two ring endomorphisms rather than one as in the case of ‘old’ GWAs.
V. Bavula
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Semihereditary polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1974 It is shown that if the ring of polynomials over a commutative ring R R is semihereditary then R R is von Neumann regular. This is the converse of a theorem of P. J. McCarthy.
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An extension of the reflexive property of rings
Arab Journal of Mathematical Sciences, 2019 Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
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