In this paper, we introduce the class of ideals with $(d_1,ldots,d_m)$-linear quotients generalizing the class of ideals with linear quotients. Under suitable conditions we control the numerical invariants of a minimal free resolution of ideals with $(d_1,ldots,d_m)$-linear quotients. In particular we show that their first module of syzygies is a componentwise linear module.

he citation in Figure 1 is not from a recent visitor in Rome, but from the Roman author Martial some 2000 years ago. Anybody who has seen Roman roads that still exist or the streets of old Pompeii can easily imagine the noise created by the wagons rolling down these uneven streets. This sound is the ancient form of tire/road noise. Today’s tire/road noise is a matter of concern. In fact, it is ...

Der Prozess valide, neuartige, potenziell nutzbare und verständliche Muster in Daten zu finden, wird als Knowledge Discovery in Database Prozess bezeichnet (KDD-Prozess). Die diesem Prozess zu Grunde liegende Datenbasis unterliegt einem ständigen Wandel. Doug Laney erkannte die Eigenschaften Volume, Variety und Velocity als neue Herausforderungen für ITOrganisationen. Heute werden diese Herausf...

The Lightest Supersymmetric Particle (LSP) makes a good Dark Matter (DM) candidate, since its relic density quite naturally comes out close to the cosmologically required value. This is true even in minimal Supergravity models with radiative symmetry breaking, which have a rather small number of free parameters. On the other hand, the experimental detection of SUSY DM might be quite difficult, ...

presence of maternal diabetes mellitus (dm) during pregnancy has important consequences for both mother and child. to determine maternal and fetal/neonatal complications of gestational dm and compare them with pre-gestational dm, a prospective study was performed in 100 diabetic women delivered in our hospital from january 2001 to april 2002. pregnancy outcome in 27 women with gestational dm an...

Abstract Conversions and semi-annihilations of dark matter (DM) particles in addition to the standard DM annihilations are considered in a three-component DM system. We find that the relic abundance of DM can be very sensitive to these non-standard DM annihilation processes, which has been recently found for two-component DM systems. To consider a concrete model of a three-component DM system, ...