Results 21 to 30 of about 3,441,413 (166)
Computer Science Journal of Moldova, 1996 Some algorithms for singularity theory and algebraic geometry The use of Grobner basis computations for treating systems of polynomial equations has become an important tool in many areas.
Hans Schonemann
doaj
Khovanskii-Gröbner Basis [PDF]
, 2020 In this thesis a natural generalization and further extension of Gröbner theory using Kaveh and Manon's Khovanskii basis theory is constructed. Suppose A is a finitely generated domain equipped with a valuation v with a finite Khovanskii basis.
Ehrmann, Daniel
core
A note on Computing SAGBI-Grobner bases in a Polynomial Ring over a Field [PDF]
Computer Science Journal of Moldova, 2006 In the paper [2] Miller has made concrete Sweedler's theory for ideal bases in commutative valuation rings (see [5]) to the case of subalgebras of a polynomial ring over a field, the ideal bases are called SAGBI-Grobner bases in this case.
Hans Ofverbeck
doaj
Fine multidegrees, universal Gröbner bases, and matrix Schubert varieties
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We give a criterion for a collection of polynomials to be a universal Gröbner basis for an ideal in terms of the multidegree of the closure of the corresponding affine variety in (P1)N$(\mathbb {P}^1)^N$. This criterion can be used to give simple proofs of several existing results on universal Gröbner bases.
Daoji Huang, Matt Larson
wiley +1 more source
Hua's Identity via Gröbner-Shirshov Basis Approach
, 2012 Gröbner Shirshov Basis ermöglicht recht kurzen Beweis von Huas IdentitätGröbner Shirshov Basis yields a short proof of Hua's ...
Herfort, Wolfgang, Legerer, Thomas
core +4 more sources
Generalization of Buchberger’s Algorithm with Respect to Several Orderings on Difference Modules
پژوهشهای ریاضی, 2021 Grobner basis with respect to several orderings is a powerful tool to compute multivariate difference dimension polynomials. In this paper, an algorithm for computing a Grobner basis of a difference module over a ground difference field with respect to ...
hamzeh harfsheno +2 more
doaj
Exploring the Six Worlds of Gröbner Basis Cryptanalysis: Application to Anemoi
IACR Transactions on Symmetric CryptologyGröbner basis cryptanalysis of hash functions and ciphers, and their underlying permutations, has seen renewed interest recently. Anemoi (Crypto’23) is a permutation-based hash function that is efficient for a variety of arithmetizations used in zero ...
Katharina Koschatko +2 more
doaj +1 more source
International Journal of Climatology, Volume 46, Issue 9, July 2026.Monthly average aerosol optical depth at 320 nm obtained with a Brewer MKIII spectrophotometer for Hobart, Australia (42.8806° S, 147.3250° E) over a 21‐year period. There is a linear trend of 15.4% per decade. There are 9 months when the average aerosol optical depth exceeds twice the monthly standard deviation.
Manuel Nuñez +3 more
wiley +1 more source
On The (De)Homogenization of Sagbi-Gröbner Bases for Modules
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaThis article explores the behavior of Sagbi-Gröbner bases for modules over polynomial subalgebras under the process of homogenization and dehomogenization.
Kanwal Nazish, Khan Junaid Alam
doaj +1 more source
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source