An explicit description is given of the module Der(k[X]/I, k[X]/I) of the derivations of the residue ring k[X]/I, where I is an ideal generated by monomials whose exponents are prime to the… Expand

Abstract We construct counter-examples, in any characteristic of the conjecture that differentially simple local domains should be Cohen-Macaulay. Such counter examples can be made henselian.

We focus on a “fat” model of an ideal in the class of the canonical ideal of the Segre coordinate ring, looking at its Rees algebra and related arithmetical questions.

Feeding bouts of birds associated with capybaras were significantly longer than those of birds not associated with the mammals, suggesting that association with capYbaras enhance the birds efficiency in catching arthropods.Expand

Currently, tourism presents itself under different forms. The increasing of tourism demand and facilities for travel have made the world accessible to travelers, who seek for flexibility of… Expand

The conjectures of Zariski-Lipman and of Nakai are still open in general in the class of rings essentially of finite type over a field of characteristic zero. However, they have long been known to be… Expand