Browsing by Subject "Anells (Àlgebra)"
Now showing items 117 of 17

Addendum to "Frobenius and Cartier algebras of StanleyReisner rings" [J.Algebra 358 (2012), 162177]
(201305)
External research report
Open AccessWe give a purely combinatorial characterization of complete StanleyReisner rings having a principally generated (equivalently, nitely generated) Cartier algebra 
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 
Algebraic Ktheory and cubical descent
(2009)
Article
Open AccessIn this note we apply the GuillénNavarro descent theorem to define a descent variant of the algebraic Ktheory of varieties over a field of characteristic zero, KD(X), which coincides with K(X) for smooth varieties and ... 
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 ... 
Frobenius and Cartier algebras of StanleyReisner rings
(201109)
External research report
Open AccessWe study the generation of the Frobenius algebra of the injective hull of a complete StanleyReisner ring over a field with positive characteristic. In particular, by extending the ideas used by M. Katzman to give a ... 
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 ... 
Hopf Galois structures on symmetric and alternating extensions
(2018)
Article
Open AccessBy using a recent theorem by Koch, Kohl, Truman and Underwood on normality, we determine that some types of Hopf Galois structures do not occur on Galois extensions with Galois group isomorphic to alternating or symmetric ... 
Induced Hopf Galois structures
(20160701)
Article
Open AccessFor a ¿nite Galois extension K/k and an intermediate ¿eld F such that Gal(K/F)has a normal complement in Gal(K/k), we construct and characterize Hopf Galois structures on K/k which are induced by a pair of Hopf Galois ... 
Invariants of binary forms
(Universitat Politècnica de Catalunya, 201701)
Bachelor thesis
Open AccessIn this work we want to give an introduction to the theory of invariants for binary forms, in order to later try to give a solution to some complex computational problems about invariants. The theory of invariants will be ... 
Lyubeznik table of sequentially CohenMacaulay rings
(201304)
External research report
Open AccessWe prove that sequentially CohenMacaulay rings in positive characteristic, as well as sequentially CohenMacaulay StanleyReisner rings in any characteristic, have trivial Lyubeznik table. Some other con gurations of ... 
Monomial codes seen as invariant subspaces
(2017)
Article
Open AccessIt is well known that cyclic codes are very useful because of their applications, since they are not computationally expensive and encoding can be easily implemented. The relationship between cyclic codes and invariant ... 
Noncomplete intersection prime ideals in dimension 3
(20150601)
Article
Open AccessWe describe prime ideals of height 2 minimally generated by three elements in a Gorenstein, Nagata local ring of Krull dimension 3 and multiplicity at most 3. This subject is related to a conjecture of Y. Shimoda and to a ... 
Rings of weak dimension 1 and syzygetic ideals
(1996)
Article
Open AccessWe prove that rings of weak dimension one are the rings with all (threegenerated) ideals syzygetic. This leads to a characterization of these rings in terms of the Andr\'eQuillen homology. 
Squarefree discriminants of Frobenius rings
(201009)
Article
Open AccessLet E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated ... 
The strong uniform ArtinRees property in codimension one
(1999)
Article
Open Access