Minimal generators of the defining ideal of the Rees Algebra associated to monoid parameterizations

2010 ◽  
Vol 27 (6) ◽  
pp. 461-473 ◽  
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea
Keyword(s):  
Rees Algebra ◽  
Minimal Generators

Minimal Generators of the Defining Ideal of the Rees Algebra Associated with a Rational Plane Parametrization with μ = 2

2014 ◽  
Vol 66 (6) ◽  
pp. 1225-1249 ◽  
Author(s):  
Teresa Cortadellas Benítez ◽  
Carlos D'Andrea
Keyword(s):  
Projective Plane ◽  
Rational Curve ◽  
Rees Algebra ◽  
Homogeneous Polynomials ◽  
Rational Plane ◽  
Minimal Generators ◽  
The Ideal

AbstractWe exhibit a set of minimal generators of the defining ideal of the Rees Algebra associated with the ideal of three bivariate homogeneous polynomials parametrizing a proper rational curve in projective plane, having a minimal syzygy of degree 2.

Minimal generators of the ideal class group

2021 ◽  
Vol 222 ◽  
pp. 157-167
Author(s):  
Henry H. Kim
Keyword(s):  
Class Group ◽  
Ideal Class ◽  
Ideal Class Group ◽  
Minimal Generators ◽  
The Ideal

Merge-Based Computation of Minimal Generators

2005 ◽  
pp. 181-194 ◽  
Author(s):  
Céline Frambourg ◽  
Petko Valtchev ◽  
Robert Godin
Keyword(s):  
Minimal Generators

scholarly journals What is the Rees algebra of a module?

2002 ◽  
Vol 131 (3) ◽  
pp. 701-708 ◽  
Author(s):  
David Eisenbud ◽  
Craig Huneke ◽  
Bernd Ulrich
Keyword(s):  
Rees Algebra

Some properties of a family of quotients of the Rees algebra

2019 ◽  
Vol 18 (06) ◽  
pp. 1950113 ◽  
Author(s):  
Elham Tavasoli
Keyword(s):  
Commutative Ring ◽  
Noetherian Ring ◽  
Proper Ideal ◽  
Rees Algebra ◽  
Finitely Generated ◽  
Flat Ideal

Let [Formula: see text] be a commutative ring and let [Formula: see text] be a nonzero proper ideal of [Formula: see text]. In this paper, we study the properties of a family of rings [Formula: see text], with [Formula: see text], as quotients of the Rees algebra [Formula: see text], when [Formula: see text] is a semidualizing ideal of Noetherian ring [Formula: see text], and in the case that [Formula: see text] is a flat ideal of [Formula: see text]. In particular, for a Noetherian ring [Formula: see text], it is shown that if [Formula: see text] is a finitely generated [Formula: see text]-module, then [Formula: see text] is totally [Formula: see text]-reflexive as an [Formula: see text]-module if and only if [Formula: see text] is totally reflexive as an [Formula: see text]-module, provided that [Formula: see text] is a semidualizing ideal and [Formula: see text] is reducible in [Formula: see text]. In addition, it is proved that if [Formula: see text] is a nonzero flat ideal of [Formula: see text] and [Formula: see text] is reducible in [Formula: see text], then [Formula: see text], for any [Formula: see text]-module [Formula: see text].

scholarly journals Minimal generators of toric ideals of graphs

2012 ◽  
Vol 48 (1) ◽  
pp. 64-78 ◽  
Author(s):  
Enrique Reyes ◽  
Christos Tatakis ◽  
Apostolos Thoma
Keyword(s):  
Toric Ideals ◽  
Minimal Generators
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