# Gröbner basis

## Papers overview

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2012

2012

- ISSAC
- 2012

We report on our experiences exploring state of the art Gröbner basis computation. We investigate signature based algorithms in… (More)

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2009

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2009

- J. Symb. Comput.
- 2009

This work presents a new framework for Gröbner basis computations with Boolean polynomials. Boolean polynomials can be modelled… (More)

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2008

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2008

- 2008

Schubert polynomials, which a priori represent cohomology classes of Schubert varieties in the flag manifold, also represent… (More)

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2007

2007

- 2007

In this article, we discuss a Gröbner basis algorithm related to the stability of algebraic varieties in the sense of Geometric… (More)

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2006

2006

- Applicable Algebra in Engineering, Communication…
- 2006

In the first sections we extend and generalize Gröbner basis theory to submodules of free right modules over monoid rings. Over… (More)

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2004

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2004

- ASIACRYPT
- 2004

This paper compares the XL algorithm with known Gröbner basis algorithms. We show that to solve a system of algebraic equations… (More)

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2004

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2004

- 2004

We extend the notion of regular sequence ([Mac16]) to overdetermined system of algebraic equations. We study generic properties… (More)

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2002

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2002

- ISSAC '02
- 2002

This paper introduces a new efficient algorithm for computing Gröbner bases. We replace the Buchberger criteria by an optimal… (More)

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1997

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1997

- J. Symb. Comput.
- 1997

The objective of this note is the presentation of a procedure for converting a given Gröbner basis (Buchberger, 1965) of a… (More)

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1992

Highly Cited

1992

- J. Symb. Comput.
- 1992

Let K bean integral domain and let S be the polynomial ring K[Ui, ..,Ur ; X1, .-,X„ ] . For any finite F C S, we construct a… (More)

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