Proving Geometric Theorems by Partitioned-Parametric Gröbner Bases

2006 ◽  
pp. 34-43 ◽  
Author(s):  
Xuefeng Chen ◽  
Peng Li ◽  
Long Lin ◽  
Dingkang Wang
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases

scholarly journals Gröbner bases for operads

2010 ◽  
Vol 153 (2) ◽  
pp. 363-396 ◽  
Author(s):  
Vladimir Dotsenko ◽  
Anton Khoroshkin
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases

scholarly journals Signature-based algorithms for Gröbner bases over tate algebras

2020 ◽  
Author(s):  
Xavier Caruso ◽  
Tristan Vaccon ◽  
Thibaut Verron
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases

Some theoretical problems when solving systems of polynomial equations using Gröbner bases

1991 ◽  
Vol 25 (2) ◽  
pp. 24-27 ◽  
Author(s):  
S. Alasdair Buchanan
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases ◽  
Polynomial Equations ◽  
Systems Of Polynomial Equations

scholarly journals Partial Gröbner Bases for Multiobjective Integer Linear Optimization

2009 ◽  
Vol 23 (2) ◽  
pp. 571-595 ◽  
Author(s):  
Víctor Blanco ◽  
Justo Puerto
Keyword(s):  
Linear Optimization ◽  
Gröbner Bases ◽  
Grobner Bases ◽  
Integer Linear Optimization

scholarly journals Gröbner bases over fields with valuations

2018 ◽  
Vol 88 (315) ◽  
pp. 467-483 ◽  
Author(s):  
Andrew J. Chan ◽  
Diane Maclagan
Keyword(s):  
Gröbner Bases ◽  
Grobner Bases

Cellular reductions of the Pommaret-Seiler resolution for Quasi-stable ideals

2021 ◽  
Vol 55 (3) ◽  
pp. 102-106
Author(s):  
Rodrigo Iglesias ◽  
Eduardo Sáenz de Cabezón
Keyword(s):  
Algebraic Geometry ◽  
Commutative Algebra ◽  
Gröbner Bases ◽  
Grobner Bases ◽  
Combinatorial Properties ◽  
Pommaret Bases ◽  
Involutive Bases

Involutive bases were introduced in [6] as a type of Gröbner bases with additional combinatorial properties. Pommaret bases are a particular kind of involutive bases with strong relations to commutative algebra and algebraic geometry[11, 12].

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