"Generalized lattices over local Dedekind-like rings"
|
Thu, 02/06/2011 17:00 |
Carlo Toffalori - joint work with Gena Puninski (Florence - Moscow) |
Logic Seminar  |
L3 |
| Recent papers by Butler-Campbell-Kovàcs, Rump, Prihoda-Puninski and others introduce over an order O over a Dedekind domain D a notion of "generalized lattice", meaning a D-projective O-module. We define a similar notion over Dedekind-like rings – a class of rings intensively studied by Klingler and Levy. We examine in which cases every generalized lattices is a direct sum of ordinary – i.e., finitely generated – lattices. We also consider other algebraic and model theoretic questions about generalized lattices. | |||