Obiettivo By the pioneering work of Huckster and Richard Stanley it has become evident that there are strong interactions between Commutative Algebra and Combinatory. On one hand side the theory of monomial ideals, mitigated modules and tonic rings is studied with techniques from Combinatory (simplified complexes, sellable posits, integral palmtop theory) while on the other hand Hilbert functions, resolutions, Rees algebras and homological properties if ideals and their powers can often be studied using Groaner and Samba basis reducing the problem to similar problem on monomial ideals or tonic rings where combinatorial technique are available. The intended scientific cooperation shall enable us to continue our research in the study of classes of monomial ideals, resolutions and homological invariants of graded ideals and modules. Campo scientifico natural sciencesmathematicspure mathematicsalgebracommutative algebra Parole chiave Betti numbers Borel ideals Toric algebras Programma(i) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Argomento(i) MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF) Invito a presentare proposte FP6-2002-MOBILITY-5 Vedi altri progetti per questo bando Meccanismo di finanziamento EIF - Marie Curie actions-Intra-European Fellowships Coordinatore UNIVERSITAET DUISBURG-ESSEN Contributo UE Nessun dato Indirizzo Universitaetsstrasse 2 ESSEN Germania Mostra sulla mappa Costo totale Nessun dato