Seminário de Álgebra  RSS

23/06/2009, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
Ines Henriques, University of Nebraska

Cohomology over short Gorenstein rings

We identify a class of local rings (R,m,k) with m4 =0 exhibiting the Koszul like property that H R(t)P M R(t) is in Z[t] for all finite R-modules M; where H R(t) denotes the Hilbert series of R and P M R(t) the Poincaré series of M over R. This class includes generic graded Gorenstein algebras of socle degree 3 . We show the minimal free resolutions of finite modules over such rings admit Koszul syzygy modules.

Organizador actual: Gustavo Granja

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