Keywords: 11G20; 94B05; 13P10; Towers of function fields; Codes; Gröbner basis;
مقالات ISI (ترجمه نشده)
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Keywords: 13P10; 13P15; Polynomial system; Zero-dimensional; Weil descent;
Keywords: 05E40; 13P10; 13D02; Koszul algebra; Gröbner basis; Binomial edge ideal; Linear quotients;
Keywords: 13E05; 13P10; 62A01; 62H17; Algebraic statistics; Noetherianity; Asymptotic algebra; Toric ideals;
Keywords: primary; 37F75; 34M45; secondary; 13P10; 32S65; 11D04; Holomorphic foliation; Invariant curve; Algebraic solution; Darboux first integral; Poincaré problem;
Keywords: Discrete dynamical systems; Polynomial maps; Periodic points; Center variety; Cyclicity; 93C55; 37G15; 13P10;
Keywords: 13P05; 13P10; 13P15; 14Q99; Monomial containment; Existence of solutions; Solving polynomial equations; Triangular set;
Keywords: 13P25; 13P10; 13-04; 14Q10; 68W30; Hypersurface; Implicitization;
Keywords: 1T71; 14G50; 94B60; 13P10; Next-to-minimal Hamming weight; Affine cartesian codes; Reed-Muller type codes; Gröbner bases;
Keywords: 16S37; 13P10; 13F20; Koszul algebra; Quadratic Gröbner basis; Quadratic ideal; Space of quadrics; Hilbert series;
Keywords: primary; 13F20; secondary; 13P10; 05C50; 05E99; Critical ideals; Algebraic co-rank; Twin vertices; Replication; Duplication; Critical group;
Keywords: 11G20; 68W30; 14G05; 14Q05; 13P10; 14G15; Superspecial curves; Maximal curves; Hasse-Witt matrices; Complete intersections;
Keywords: 62K15; 13P10; Algebraic statistics; Complex coding; Counts of factor levels; Fractional factorial designs; Generalized word-length pattern; Indicator function;
Keywords: 13P10; 14B10; 14M05;
Keywords: 11P21; 13P10; 52B20; 90C10; 13E15Markov bases; Toric fiber product; Lifting; Gröbner bases
Keywords: 13P10; 05E40
Keywords: 13P10; 14N20
Keywords: 13A15; 13P10; 14C20
Keywords: 92C45; 34E15; 80A30; 13P10
Keywords: 13A02; 12A30; 13P10; Krull dimension; Weight order; Monomial order; Independent sequence; Analytically independent; Associated graded ring; Jacobson ring; Subfinite algebra;
Keywords: 14M25; 13P10; 62H17; 05C90; Toric ideals; Markov basis; Graver basis; Lawrence liftings;
Keywords: 13A30; 16S36; 13P10; 13D02; 13H10; 13C13Numerical semigroup rings; Tangent cones; Betti numbers
Keywords: 13A30; 13C14; 13C40; 13D02; 13E15; 13H10; 13P10; 14E05; 14E07; Symbolic power; Symbolic Rees algebra; General linear forms; Codimension two perfect ideal; Birational map; Inversion factor;
Keywords: 05A15; 13P10; 20M14Numerical semigroup; Apéry set; Frobenius number; Cohen–Macaulay type; Genus; Pseudo-symmetry
Keywords: 16W99; 13P10; 16S15; 12H05; 08A70; 16S20; 16R99Rota's Classification Problem; Linear operators; Operator identities; Gröbner–Shirshov bases; Term rewriting systems; Normal forms; Free objects
Keywords: 68W20; 68R05; 12Y05; 13P10; 14Q10; 08A40Violator spaces; Ideal generators; Solving polynomial systems; Randomized algorithm in algebra; Large sparse systems of equations
Keywords: 13P10; 13P15; 11T55; 68W30Gröbner basis; The GVW algorithm; Signature-based algorithm; Linear algebra; Boolean polynomial ring
Keywords: 13A30; 13C14; 13D02; 13P10; 14E07; 14M07Rees algebra; Sylvester forms; Almost Cohen–Macaulay; Reduction number; Monomials; Initial ideal
Keywords: 11T71; 11Y16; 11G20; 13P10; 14G15; 14H52; Elliptic curve; Discrete logarithm problem (DLP); Prime field; Summation polynomials; Groebner basis;
Keywords: 14M25; 13P10; 05C65; 13D02; Toric ideals; Matroids; Graver basis; Universal Gröbner basis; Hypergraphs; Markov bases; Resolutions;
Ideals of the form I1(XY)
Keywords: primary; 13P10; secondary; 13C40; 13D02; Gröbner basis; Betti numbers; Determinantal ideals; Completely irreducible systems;
Reversibility in polynomial systems of ODE's
Keywords: Polynomial systems of ODE's; Symmetries; Time-reversible system; Integrability; 34A34; 34C14; 13P10;
Prony's method in several variables: Symbolic solutions by universal interpolation
Keywords: 13P10; 65T40; 41D05; Prony's method; Gröbner basis; Degree reducing interpolation; Hyperbolic cross;
On the last fall degree of zero-dimensional Weil descent systems
Keywords: 13P10; 13P15; Polynomial system; Gröbner basis; Last fall degree; Zero-dimensional; First fall degree; Weil descent; HFE; ECDLP;
Koszul blowup algebras associated to three-dimensional Ferrers diagrams
Keywords: 13F55; 13P10; 14M25; 16S37; 14M05; 14N10; 05E40; 05E45; Special fiber; Toric rings; Blowup algebras; Ferrers graph; Koszul;
Free braided nonassociative Hopf algebras and Sabinin Ï-algebras
Keywords: primary; 12H05; secondary; 12L05; 13P10; 16E45; 16Z05; Nonassociative algebra; Braiding; Sabinin algebra; Primitive polynomial;
Algorithm for computing μ-bases of univariate polynomials
Keywords: 12Y05; 13P10; 14Q05; 68W30; μ-basis; Syzygy module; Polynomial vectors; Rational curves;
Gröbner bases and their application to the Cauchy problem on finitely generated affine monoids
Keywords: 13P10; 39A06; Gröbner basis; Generalised term order; Cauchy problem for partial difference equations;
Equivariant Hilbert series in non-noetherian polynomial rings
Keywords: primary; 13F20; secondary; 13A50; 13P10; 13A02; Gröbner basis; Hilbert function; Symmetric group; Monoid; Orbit; Krull dimension; Multiplicity;
The converse of a theorem by Bayer and Stillman
Keywords: 13P10; 68W30
Binomial fibers and indispensable binomials
Keywords: 13P10; 14M25Binomial ideals; Markov basis; Lattices
Test for Leibniz n-algebra structure
Keywords: 17A32; 13P10; 68W30; Leibniz n-algebra; Lie n-algebra; Gröbner basis; Universal enveloping algebra; Overlap relations; Mathematica;
Componentwise regularity (I)
Keywords: 13A02; 13B25; 13D02; 13P10; 13P20;
A topological structure on certain initial algebras
Keywords: 06F15; 13P10; 16W22; 54CxxCantor space; Orderable group; Initial algebra; Multiplicative invariants
Hyperplane sections, Gröbner bases, and Hough transforms
Keywords: 13P25; 13P10; 14D06
New approaches to plactic monoid via Gröbner-Shirshov bases
Keywords: 16S15; 13P10; 20M05; Gröbner-Shirshov basis; Normal form; Associative algebra; Plactic monoid; Young tableau;
Multiplication in the cohomology of Grassmannians via Gröbner bases
Keywords: 05E05; 13P10; 14M15; Cohomology of Grassmannians; Gröbner bases; Kostka numbers; Chern classes; Stiefel-Whitney classes; Schubert classes; Pieri's formula; Immersions;
Noetherian quotients of the algebra of partial difference polynomials and Gröbner bases of symmetric ideals
Keywords: primary; 12H10; secondary; 13P10; 13A50; Difference algebras; Gröbner bases; Invariant ideals;
New results on multivariate polynomial matrix factorizations
Keywords: 15A23; 15A06; 13P05; 13P10; Polynomial ring; Multivariate polynomial matrices; Lin-Bose problem; Bivariate matrix factorizations;
Sparsity optimized high order finite element functions for H(curl) on tetrahedra
Keywords: 65N30; 33C45; 65N35; 33F10; 13P10; 68W30; High order finite elements; Orthogonal polynomials; Symbolic computation; Solution of discretized equations;