An Involutive GVW Algorithm and the Computation of Pommaret Bases

2021 ◽  
Author(s):  
Amir Hashemi ◽  
Thomas Izgin ◽  
Daniel Robertz ◽  
Werner M. Seiler
Keyword(s):  
Pommaret 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].

scholarly journals A Pommaret bases approach to the degree of a polynomial ideal

2017 ◽  
Vol 29 (4) ◽  
pp. 283-301
Author(s):  
Bentolhoda Binaei ◽  
Amir Hashemi ◽  
Werner M. Seiler
Keyword(s):  
Polynomial Ideal ◽  
Pommaret Bases

scholarly journals Structure Analysis of Polynomial Modules with Pommaret Bases

PAMM ◽  
2003 ◽  
Vol 2 (1) ◽  
pp. 446-447
Author(s):  
Werner M. Seiler
Keyword(s):  
Structure Analysis ◽  
Pommaret Bases ◽  
Polynomial Modules

scholarly journals Computation of Pommaret Bases Using Syzygies

2018 ◽  
pp. 51-66
Author(s):  
Bentolhoda Binaei ◽  
Amir Hashemi ◽  
Werner M. Seiler
Keyword(s):  
Pommaret Bases
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