Results 51 to 60 of about 238 (137)
Computation in multivariate quaternionic polynomial ring
Le Matematiche, 2013 In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.
Hiep Tuan Dang
doaj
Rewrite Rules and Simplification of Matrix Expressions [PDF]
Computer Science Journal of Moldova, 1996 This paper concerns the automated simplification of expressions which involve non-commuting variables. The technology has been applied to the simplification of matrix and operator theory expressions which arise in engineering applications.
John J Wavrik
doaj
COMBOS2: an algorithm to the input–output equations of dynamic biosystems via Gaussian elimination
Journal of Taibah University for Science, 2020 Differential algebra (DA) methods are currently being exploited for analyzing dynamic biosystem models for their structural identifiability (SI) properties. An early step in this approach entails finding an equivalent input–output (I/O) model.
Ali Kalami Yazdi +2 more
doaj +1 more source
GL‐algebras in positive characteristic II: The polynomial ring
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley +1 more source
Mirror symmetry, Laurent inversion, and the classification of Q$\mathbb {Q}$‐Fano threefolds
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We describe recent progress in a program to understand the classification of three‐dimensional Fano varieties with Q$\mathbb {Q}$‐factorial terminal singularities using mirror symmetry. As part of this we give an improved and more conceptual understanding of Laurent inversion, a technique that sometimes allows one to construct a Fano variety X$
Tom Coates +2 more
wiley +1 more source
Toric Rings and Ideals of Stable Set Polytopes
Mathematics, 2019 In the present paper, we study the normality of the toric rings of stable set polytopes, generators of toric ideals of stable set polytopes, and their Gröbner bases via the notion of edge polytopes of finite nonsimple graphs and the results on their
Kazunori Matsuda +2 more
doaj +1 more source
Chinese remainder theorem secret sharing in multivariate polynomials
Журнал Белорусского государственного университета: Математика, информатика, 2019 This paper deals with a generalization of the secret sharing using Chinese remainder theorem over the integers to multivariate polynomials over a finite field. We work with the ideals and their Gröbner bases instead of integer moduli.
Gennadii V. Matveev
doaj +1 more source
On sortable intervals of monomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In 1996, in his study of Gröbner bases of toric ideals, Sturmfels introduced a sorting operator on pairs of monomials of degree d in n variables. This gave rise to the notion of sortable sets, namely sets B of monomials of degree d such that B×B is ...
Bonanzinga Vittoria, Eliahou Shalom
doaj +1 more source
Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets
MATEC Web of Conferences, 2016 The notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous ...
Afzal Farkhanda
doaj +1 more source
A message recovery attack on multivariate polynomial trapdoor function. [PDF]
PeerJ Comput Sci, 2023 Ali R +4 more
europepmc +1 more source