Spectra of the Gamma-invariant of uniform modules
| dc.creator | Shelah, Saharon | |
| dc.creator | Trlifaj, Jan | |
| dc.date | 2000-09-06 | |
| dc.date.accessioned | 2026-07-07T04:37:13Z | |
| dc.date.available | 2026-07-07T04:37:13Z | |
| dc.description | For a ring R, denote by Spec^R_kappa(Gamma) the kappa-spectrum of the Gamma-invariant of strongly uniform right R-modules. Recent realization techniques of Goodearl and Wehrung show that Spec^R_{aleph_1}(Gamma) is full for suitable von Neumann regular algebras R, but the techniques do not extend to cardinals kappa>aleph_1. By a direct construction, we prove that for any field F and any regular uncountable cardinal kappa there is an F-algebra R such that Spec^R_kappa(Gamma) is full. We also derive some consequences for the complexity of Ziegler spectra of infinite dimensional algebras. | |
| dc.identifier | https://arxiv.org/abs/math/0009060 | |
| dc.identifier | http://arxiv.org/abs/math/0009060 | |
| dc.identifier | J. Pure Appl. Algebra 162 No. 2-3 (2001) 367--379 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59876 | |
| dc.subject | Logic | |
| dc.subject | Rings and Algebras | |
| dc.title | Spectra of the Gamma-invariant of uniform modules | |
| dc.type | text |