Starts 6 Apr 2011 15:30

Ends 6 Apr 2011 20:00

Central European Time

Stanley decompositions in localized polynomial rings

Starts 6 Apr 2011 15:30

Ends 6 Apr 2011 20:00

Central European Time

ICTP

Leonardo da Vinci Building Luigi Stasi Seminar Room

Strada Costiera, 11
I - 34151 Trieste (Italy)

Abstract:
Let K be a field, S=K[x1,... ,xn] be the polynomial ring in n variables over K. We introduce the concept of Stanley decompositions in the localized polynomial ring Sf where f is a product of variables, and we show that the Stanley depth does not decrease upon localization. Furthermore it is shown that for monomial ideals J ⊂ I ⊂ Sf the number of maximal Stanley spaces in a Stanley decomposition of I /J is an invariant of I /J. For the proof of this result we introduce Hilbert series for multigraded K-vector spaces.

- Mabilo