CAPANI, A., NIESI, G., AND ROBBIANO, L. CoCoA, a system for doing Computations ~n Commutative Algebra, (1995). Available via anonymous ftp from lancelot, dima .unige. it

Google Scholar

[6]

EISENBUD, D. Commutatzve Algebra with a View Toward Algebrazc Geometry, Springer Graduate Texts m Mathematics 150, (1994)

Google Scholar

[7]

GIANNI, P., MORA, T., ROBBIANO, L., AND TRA- VERSO, C. Hilbert funct, ons and Buchberger algomthm, Preprint

Google Scholar

[8]

MOLLER, H. M., AND MORA, T. New Constructive Methods ~n Classical Ideal Theory, Journal of Algebra 100, 138-178 (1986)

Crossref

Google Scholar

[9]

ROBBIANO, L. Term orderings on the polynomial rungs, EUROCAL '85, Springer LNCS 204, 513-517 (1985)

Digital Library

Google Scholar

[10]

P~OBBIANO, L. Introduction to the theory o} GrSbner bases, Queen's Papers in Pure and Applied Maths (1988)

Google Scholar

Cited By

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Verron T(2024)On the computation of Gröbner bases for matrix-weighted homogeneous systemsJournal of Symbolic Computation10.1016/j.jsc.2024.102327125:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.jsc.2024.102327
Chowdhury AMaji S(2024)Counting $$\mathcal{N}$$ = 8 black holes as algebraic varietiesJournal of High Energy Physics10.1007/JHEP05(2024)0912024:5Online publication date: 8-May-2024
https://doi.org/10.1007/JHEP05(2024)091
Faugère JSafey El Din MVerron T(2016)On the complexity of computing Gröbner bases for weighted homogeneous systemsJournal of Symbolic Computation10.1016/j.jsc.2015.12.00176:C(107-141)Online publication date: 1-Sep-2016
https://dl.acm.org/doi/10.1016/j.jsc.2015.12.001
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Index Terms

Multigraded Hilbert functions and Buchberger algorithm
1. Computing methodologies
  1. Symbolic and algebraic manipulation
    1. Symbolic and algebraic algorithms
      1. Algebraic algorithms
2. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis
      1. Computations on polynomials

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Hilbert Algebras with Hilbert–Galois Connections
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An extension of Buchberger's algorithm and calculationsin enveloping fields of lie algebras

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ISSAC '96: Proceedings of the 1996 international symposium on Symbolic and algebraic computation

October 1996

318 pages

ISBN:0897917960

DOI:10.1145/236869

Chairmen:
Erwin Engeler
ETH Zu¨rich, Switzerland
,
Bob F. Caviness
Univ. of Delaware, Newark
,
Editor:
Y. N. Lakshman
Drexel Univ., Philadelphia, PA

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 October 1996

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ISSAC '96 Paper Acceptance Rate 41 of 121 submissions, 34%;

Overall Acceptance Rate 395 of 838 submissions, 47%

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Verron T(2024)On the computation of Gröbner bases for matrix-weighted homogeneous systemsJournal of Symbolic Computation10.1016/j.jsc.2024.102327125:COnline publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1016/j.jsc.2024.102327
Chowdhury AMaji S(2024)Counting $$\mathcal{N}$$ = 8 black holes as algebraic varietiesJournal of High Energy Physics10.1007/JHEP05(2024)0912024:5Online publication date: 8-May-2024
https://doi.org/10.1007/JHEP05(2024)091
Faugère JSafey El Din MVerron T(2016)On the complexity of computing Gröbner bases for weighted homogeneous systemsJournal of Symbolic Computation10.1016/j.jsc.2015.12.00176:C(107-141)Online publication date: 1-Sep-2016
https://dl.acm.org/doi/10.1016/j.jsc.2015.12.001
Bigatti ACaboara MRobbiano L(2011)Computing inhomogeneous Gröbner basesJournal of Symbolic Computation10.1016/j.jsc.2010.10.00246:5(498-510)Online publication date: 1-May-2011
https://dl.acm.org/doi/10.1016/j.jsc.2010.10.002
Kreuzer MRobbiano L(2003)Basic Tools for Computing in Multigraded RingsCommutative Algebra, Singularities and Computer Algebra10.1007/978-94-007-1092-4_12(197-216)Online publication date: 2003
https://doi.org/10.1007/978-94-007-1092-4_12
Van Tuyl A(2002)The border of the Hilbert function of a set of points in Pn1×⋯×PnkJournal of Pure and Applied Algebra10.1016/S0022-4049(02)00072-5176:2-3(223-247)Online publication date: Dec-2002
https://doi.org/10.1016/S0022-4049(02)00072-5
Gatermann KGuyard F(1999)Gröbner Bases, Invariant Theory and Equivariant DynamicsJournal of Symbolic Computation10.5555/2947511.294754528:1(275-302)Online publication date: 1-Jul-1999
https://dl.acm.org/doi/10.5555/2947511.2947545
Gatermann KGuyard F(1999)Gröbner Bases, Invariant Theory and Equivariant DynamicsJournal of Symbolic Computation10.1006/jsco.1998.027728:1-2(275-302)Online publication date: Jul-1999
https://doi.org/10.1006/jsco.1998.0277
Bachmann OSchönemann HWeispfenning VTrager B(1998)Monomial representations for Gröbner bases computationsProceedings of the 1998 international symposium on Symbolic and algebraic computation10.1145/281508.281657(309-316)Online publication date: 1-Aug-1998
https://dl.acm.org/doi/10.1145/281508.281657
Bigatti A(1997)Computation of Hilbert-Poincaré seriesJournal of Pure and Applied Algebra10.1016/S0022-4049(96)00035-7119:3(237-253)Online publication date: Jul-1997
https://doi.org/10.1016/S0022-4049(96)00035-7

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Hilbert Algebras with Hilbert–Galois Connections

An extension of Buchberger's algorithm and calculationsin enveloping fields of lie algebras

Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras

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Hilbert Algebras with Hilbert–Galois Connections

An extension of Buchberger's algorithm and calculationsin enveloping fields of lie algebras

Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras

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