Results 71 to 80 of about 4,148,143 (214)
A polyhedral approach to computing border bases [PDF]
, 2010 Border bases can be considered to be the natural extension of Gr\"obner bases that have several advantages. Unfortunately, to date the classical border basis algorithm relies on (degree-compatible) term orderings and implicitly on reduced Gr\"obner bases.
Braun, Gábor, Pokutta, Sebastian
core
PBW deformations of a Fomin-Kirillov algebra and other examples
, 2018 We begin the study of PBW deformations of graded algebras relevant to the theory of Hopf algebras. One of our examples is the Fomin-Kirillov algebra FK3. Another one appeared in a paper of Garc\'ia Iglesias and Vay.
Heckenberger, I., Vendramin, L.
core +1 more source
Exploring the Link Between the Gut Microbiota and Epigenetic Factors in Anorexia Nervosa
Brain and Behavior, Volume 15, Issue 8, August 2025.Current knowledge about the complex causes and treatment approaches for anorexia nervosa is limited. While research has separately associated microbiome changes and epigenetic modifications with AN, the combined effects of these factors are not well understood, and exploring their interaction could lead to novel biomarkers and therapeutic options ...
N. M. Korten +6 more
wiley +1 more source
Solving Degree Bounds for Iterated Polynomial Systems
IACR Transactions on Symmetric CryptologyFor Arithmetization-Oriented ciphers and hash functions Gröbner basis attacks are generally considered as the most competitive attack vector. Unfortunately, the complexity of Gröbner basis algorithms is only understood for special cases, and it is ...
Matthias Johann Steiner
doaj +1 more source
An Algorithm to Compute the H-Bases for Ideals of Subalgebras
Discrete Dynamics in Nature and Society, 2021 The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra.
Rabia +4 more
doaj +1 more source
The Koszul property for spaces of quadrics of codimension three
, 2016 In this paper we prove that, if $\mathbb{k}$ is an algebraically closed field of characteristic different from 2, almost all quadratic standard graded $\mathbb{k}$-algebras $R$ such that $\dim_{\mathbb{k}}R_2 = 3$ are Koszul. More precisely, up to graded
D'Alì, Alessio
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Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We investigate the question of when a given homogeneous ideal is a limit of saturated ones. We provide cohomological necessary criteria for this to hold and apply them to a range of examples. In small cases, we characterise the limits. We also supply a number of auxiliary results on the classical and multigraded Hilbert schemes, for example ...
Joachim Jelisiejew, Tomasz Mańdziuk
wiley +1 more source
Constructing the Grobner basis using Anick's resolution in the noncommutative algebras [PDF]
Computer Science Journal of Moldova, 1996 This article describes the method of construction the Grobner basis based on the information in the Anick's resolution.
A. Podoplelov
doaj
Radially-Distorted Conjugate Translations
, 2018 This paper introduces the first minimal solvers that jointly solve for affine-rectification and radial lens distortion from coplanar repeated patterns. Even with imagery from moderately distorted lenses, plane rectification using the pinhole camera model
Chum, Ondrej +3 more
core +1 more source
Generic root counts and flatness in tropical geometry
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract We use tropical and nonarchimedean geometry to study the generic number of solutions of families of polynomial equations over a parameter space Y$Y$. In particular, we are interested in the choices of parameters for which the generic root count is attained.
Paul Alexander Helminck, Yue Ren
wiley +1 more source