A remark on the Hilbert series of tranversal polymatroids.
Alphabetical list of contributors of volume 37 (2008)
An algorithm to compute the kernel of a derivation up to a certain degree
An algorithm is described which computes generators of the kernel of derivations on k[X₁,...,Xₙ] up to a previously given bound. For w-homogeneous derivations it is shown that if the algorithm computes a generating set for the kernel then this set is minimal.
Cohen-Macaulay modifications of the vertex cover ideal of a graph
We study when the modifications of the Cohen-Macaulay vertex cover ideal of a graph are Cohen-Macaulay.
Erratum to : “The finite free extension of artinian -algebras with the strong Lefschetz property” [Rend. Sem. Mat. Univ. Padova 110 (2003), 119–146]
Essai d'une théorie noethérienne homogène pour les anneaux commutatifs dont la graduation est aussi générale que possible
--ideals in graded commutative rings
Let be a group with identity and let be a -graded ring. In this paper, we introduce and study the concept of graded -ideals of . A proper graded ideal of is called a graded -ideal of if whenever where , then either or or . We introduce several results concerning --ideals. For example, we give a characterization of graded -ideals and their homogeneous components. Also, the relations between graded -ideals and others that already exist, namely, the graded prime ideals,...
Graded transcendental extensions of graded fields.
Homological properties of some Weyl algebra extensions
How to categorify one-half of quantum 𝔤𝔩(1|2)
We describe a collection of differential graded rings that categorify weight spaces of the positive half of the quantized universal enveloping algebra of the Lie superalgebra 𝔤𝔩(1|2).
Jacobian criteria for complete intersections. The graded case.
Linear gradings of polynomial algebras
Let k be a field, let be a finite group. We describe linear -gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.
Miyanishi's characterization of the affine 3-space does not hold in higher dimensions
We present an example which confirms the assertion of the title.
Multigraded factorial rings and Fano varieties with torus action.
Noetherian loop spaces
The class of loop spaces of which the mod cohomology is Noetherian is much larger than the class of -compact groups (for which the mod cohomology is required to be finite). It contains Eilenberg–Mac Lane spaces such as and 3-connected covers of compact Lie groups. We study the cohomology of the classifying space of such an object and prove it is as small as expected, that is, comparable to that of . We also show that X differs basically from the classifying space of a -compact group...
Normal Zr-Graded Rings and Normal Cyclic Covers.
On mixed multiplicities of homogeneous ideals.
On the Cohen-Macaulay and Gorenstein properties of multigrad rees algebras.
On the depth and regularity of the symmetric algebra.
On the generalized Davenport constant and the Noether number
Known results on the generalized Davenport constant relating zero-sum sequences over a finite abelian group are extended for the generalized Noether number relating rings of polynomial invariants of an arbitrary finite group. An improved general upper degree bound for polynomial invariants of a non-cyclic finite group that cut out the zero vector is given.