Now showing items 1-12 of 12

(2003)
Article
Open Access
• #### Emmy Noether i l’àlgebra commutativa ﻿

(2009-02-18)
Audiovisual
Open Access
Emmy 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 ...
• #### Generic Galois extensions for SL_2(F_5) over Q ﻿

(Mathematical Publishing, 2007)
Article
Open Access
Let $G_n$ be a double cover of either the alternating group $A_n$ or the symmetric group $S_n$, and let $G_{n-1}$ be the corresponding double cover of $A_{n-1}$ or $S_{n-1}$. For every odd $n\geq 3$ and every field $k$ of ...
• #### Hilbert Revisited ﻿

(2009-03-18)
Audiovisual
Open Access
Starting 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 ...
• #### Ideals of Herzog-Northcott type ﻿

(2011-01-19)
Article
Open Access
This paper takes a new look at ideals generated by 2×2 minors of 2×3 matrices whose entries are powers of three elements not necessarily forming a regular sequence. A special case of this is the ideals determining monomial ...
• #### Lyubeznik numbers of local rings and linear strands of graded ideals ﻿

(Springer, 2016)
Conference report
Restricted access - publisher's policy
We report recent work on the study of Lyubeznik numbers and their relation to invariants coming from the study of linear strands of free resolutions.

(1999)
Article
Open Access

(1996)
Article
Open Access
• #### Rings of weak dimension 1 and syzygetic ideals ﻿

(1996)
Article
Open Access
We prove that rings of weak dimension one are the rings with all (three-generated) ideals syzygetic. This leads to a characterization of these rings in terms of the Andr\'e-Quillen homology.
• #### Sur L'Annulation du deuxième foncteur de (co)homologie D'André-Quillen ﻿

(1995)
Article
Open Access
For a given ideal I of a commutative ring ç A,B = A/I, the vanishing of the second André-Quillen (co)homology functor H2(A,B,*) is characterized in terms of the canonical homomorphism a:S(I)->R(I) from the symmetric algebra ...

(1999)
Article
Open Access
• #### Vanishing of the André-Quillen homology Module$H<sub>2</sub>(A,B,G (I))$ ﻿

(1996)
Article
Open Access
Let $I$ be an ideal of a commutative Noetherian ring $A$, $A\supset \Q$, $B=A/I$ and ${\bf G}(I)$ the associated graded ring to $I$. It is known that $H_{2}(A,B,B)=0$ is equivalent to $I$ being syzygetic. We prove that the ...