Browsing by Subject "Commutative algebra"
Now showing items 112 of 12

A Koszul complex over skew polynomial rings
(20190101)
Article
Restricted access  publisher's policyWe construct a Koszul complex in the category of left skew polynomial rings associated with a flat endomorphism that provides a finite free resolution of an ideal generated by a Koszul regular sequence 
An approach to the uniform ArtinRees theorems from the notion of relation type
(2003)
Article
Open Access 
Dmodules, BernsteinSato polynomials and Finvariants of direct summands
(20171201)
Article
Restricted access  publisher's policyWe study the structure of D modules over a ring R which is a direct sum mand of a polynomial or a power series ring S with coefficients over a field. We relate properties of D modules over R to D modules over S . We ... 
Emmy Noether i l’àlgebra commutativa
(20090218)
Audiovisual
Open AccessEmmy Noether representa un punt d’inflexió fonamental en el desenvolupament de l’Àlgebra Commutativa. Per una banda, en ella conflueixen algunes de les línies evolutives prèvies més importants. Per altra, a partir del seu ... 
Generating functions associated to Frobenius algebras
(Elsevier, 20191201)
Article
Restricted access  publisher's policyWe introduce a generating function associated to the homogeneous generators of a graded algebra that measures how far is this algebra from being finitelygenerated. For the case of some algebras of Frobenius endomorphisms ... 
Hilbert Revisited
(20090318)
Audiovisual
Open AccessStarting with a look at Hilbert's famous 1890 paper, which was considered at one time to have dealt the deathblow to Invariant Theory, and which inluded the famous Basis Theorem and Syzygy Theorem, we will trace some ... 
Lyubeznik numbers of local rings and linear strands of graded ideals
(Springer, 2016)
Conference report
Restricted access  publisher's policyWe report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions. 
Minimal canonical comprehensive Gröbner systems
(2009)
Article
Open AccessThis is the continuation of Montes' paper "On the canonical discussion of polynomial systems with parameters''. In this paper, we define the Minimal Canonical Comprehensive Gröbner System of a parametric ideal and fix under ... 
Minimal free resolutions of lattice ideals of digraphs
(20180302)
Article
Open AccessBased upon a previous work of Manjunath and Sturmfels for a finite, complete, undirected graph, and a refined algorithm by Eröcal, Motsak, Schreyer and Steenpaß for computing syzygies, we display a free resolution of the ... 
On the integral degree of integral ring extensions
(20190201)
Article
Open AccessLet A ¿ B be an integral ring extension of integral domains with fields of fractions K and L, respectively. The integral degree of A ¿ B, denoted by dA(B), is defined as the supremum of the degrees of minimal integral ... 
Positivity properties of relative complete intersections
(201410)
External research report
Open AccessWe give conditions for fpositivity of relative complete intersections in projective bundles. We also derive an instability result for the fibres. 
Rational parameterizations approach for solving equations in some dynamical systems problems
(201908)
Article
Restricted access  publisher's policyWe show how the use of rational parameterizations facilitates the study of the number of solutions of many systems of equations involving polynomials and square roots of polynomials. We illustrate the effectiveness of this ...