Add to ORKGTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Santiago Zarzuela[en] We study the graded free resolutions in the polynomial ring giving results of existence, uniqueness and finitude. We study the correspondence between the monomial curves and the associated numerical semigroup that will allow us, using several results about resolutions, to fnd explicitly the structure of the free resolution of any monomial curve in the 3 dimensional affine space. To arrive at these results, we do a basic study of the categories of graded rings and semigroups. In addition, a way to calculate effectively the parameters necessary to find these resolutions is given by means of basic results on D...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
AbstractLetRbe a commutative noetherian ring and ϕ:F→Gbe a homomorphism of freeR-modules where rankF...
Abstract. We define the Buchberger resolution, which is a graded free resolution of a monomial ideal...
Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with...
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers wi...
Classifying the minimal free resolutions of monomial ideals in a polynomial ring over a field is a c...
For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension...
AbstractWe characterize the hull resolution of a monomial curve in three-dimensional affine space, a...
For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension...
AbstractMinimal free resolutions for prime ideals with generic zero (tn3,tn3−n10tn11,tn3−n20tn2, tn3...
AbstractLet A(C) be the coordinate ring of a monomial curve C⊆An corresponding to the numerical semi...
AbstractWe study the minimal free resolution F of a ring T = SI where S is a positive affine semi-gr...
We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmet...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
AbstractLetRbe a commutative noetherian ring and ϕ:F→Gbe a homomorphism of freeR-modules where rankF...
Abstract. We define the Buchberger resolution, which is a graded free resolution of a monomial ideal...
Let m = (m0, m1, m2, n) be an almost arithmetic sequence, i.e., a sequence of positive integers with...
Let $\mm=(m_0,m_1,m_2,n)$ be an almost arithmetic sequence, i.e., a sequence of positive integers wi...
Classifying the minimal free resolutions of monomial ideals in a polynomial ring over a field is a c...
For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension...
AbstractWe characterize the hull resolution of a monomial curve in three-dimensional affine space, a...
For some numerical semigroup rings of small embedding dimension, namely those of embedding dimension...
AbstractMinimal free resolutions for prime ideals with generic zero (tn3,tn3−n10tn11,tn3−n20tn2, tn3...
AbstractLet A(C) be the coordinate ring of a monomial curve C⊆An corresponding to the numerical semi...
AbstractWe study the minimal free resolution F of a ring T = SI where S is a positive affine semi-gr...
We study monomial curves, toric ideals and monomial algebras associated to 4-generated pseudo symmet...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
International audienceLet $R:= K[x_1,\ldots,x_{n}]$ be a polynomial ring over an infinite field $K$,...
AbstractLetRbe a commutative noetherian ring and ϕ:F→Gbe a homomorphism of freeR-modules where rankF...
Abstract. We define the Buchberger resolution, which is a graded free resolution of a monomial ideal...