Results 21 to 30 of about 4,148,143 (214)
A Gröbner-Shirshov basis over a special type of braid monoids
AIMS Mathematics, 2020 The aim of this paper is to present a Gröbner-Shirshov basis for a special type of braid monoids, namely the symmetric inverse monoid In, in terms of the dex-leg ordering on the related elements of monoid.
Ahmet S. Cevik +3 more
doaj +1 more source
Arf numerical semigroups with high multiplicity via Gröbner basis
Applied Mathematics in Science and Engineering, 2023 In this paper, Arf numerical semigroups with high multiplicity are given. RF (Row Factorization)-matrices, Gröbner basis are presented by writing the ideals of numerical semigroup with RF-matrices.
Belgin Özer
doaj +1 more source
Biomechanical Analysis of Concealed Pack Load Influences on Terrorist Gait Signatures Derived from Gröbner Basis Theory. [PDF]
J Forensic Biomech, 2014 Kohles SS +3 more
europepmc +2 more sources
AIMS Mathematics, 2022 In this paper, we develop a theory for Standard bases of $ K $-subalgebras in $ K[[t_{1}, t_{2}, \ldots, t_{m}]] [x_{1}, x_{2}, ..., x_{n}] $ over a field $ K $ with respect to a monomial ordering which is local on $ t $ variables and we call them ...
Nazia Jabeen, Junaid Alam Khan
doaj +1 more source
Reducing the size and number of linear programs in a dynamic Gr\"obner basis algorithm [PDF]
, 2012 The dynamic algorithm to compute a Gr\"obner basis is nearly twenty years old, yet it seems to have arrived stillborn; aside from two initial publications, there have been no published followups.
AM Bigatti +6 more
core +1 more source
Syzygies among reduction operators [PDF]
, 2018 We introduce the notion of syzygy for a set of reduction operators and relate it to the notion of syzygy for presentations of algebras. We give a method for constructing a linear basis of the space of syzygies for a set of reduction operators.
Chenavier, Cyrille
core +5 more sources
PBW Basis of the Modified Ringel–Hall Algebra of Type An via Gröbner–Shirshov Basis
Journal of Mathematics, 2023 In the Ringel–Hall algebra of Dynkin type, the set of all commutator relations between the isoclasses of indecomposable representations forms a minimal Gröbner–Shirshov basis, and the set of the corresponding irreducible elements forms a PBW-type basis ...
Desheng Hu, Abdukadir Obul
doaj +1 more source
Gröbner–Shirshov Bases Theory for Trialgebras
Mathematics, 2021 We establish a method of Gröbner–Shirshov bases for trialgebras and show that there is a unique reduced Gröbner–Shirshov basis for every ideal of a free trialgebra.
Juwei Huang, Yuqun Chen
doaj +1 more source
On the complexity of computing Gr\"obner bases for weighted homogeneous systems [PDF]
, 2015 Solving polynomial systems arising from applications is frequently made easier by the structure of the systems. Weighted homogeneity (or quasi-homogeneity) is one example of such a structure: given a system of weights $W=(w\_{1},\dots,w\_{n})$, $W ...
Din, Mohab Safey El +2 more
core +5 more sources
Computing Minimal Generating Sets of Invariant Rings of Permutation Groups with SAGBI-Gröbner Basis [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We present a characteristic-free algorithm for computing minimal generating sets of invariant rings of permutation groups. We circumvent the main weaknesses of the usual approaches (using classical Gröbner basis inside the full polynomial ring, or pure ...
Nicolas Thiéry
doaj +1 more source