Noetherianity of the Space of Irreducible Representations
| dc.creator | Letzter, Edward S. | |
| dc.date | 2001-06-05 | |
| dc.date | 2002-07-22 | |
| dc.date.accessioned | 2026-07-07T04:42:00Z | |
| dc.date.available | 2026-07-07T04:42:00Z | |
| dc.description | Let R be an associative ring with identity. We study an elementary generalization of the classical Zariski topology, applied to the set of isomorphism classes of simple left R-modules (or, more generally, simple objects in a complete abelian category). Under this topology the points are closed, and when R is left noetherian the corresponding topological space is noetherian. If R is commutative (or PI, or FBN) the topology is equivalent to the Zariski topology, and when R is the first Weyl algebra (in characteristic zero) we obtain a one-dimensional irreducible noetherian topological space. Comparisons with topologies induced from those on A. L. Rosenberg's spectra are briefly noted. | |
| dc.description | Revised; 9 pages; AMS-TeX. To appear in Israel Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0106034 | |
| dc.identifier | http://arxiv.org/abs/math/0106034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61595 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.title | Noetherianity of the Space of Irreducible Representations | |
| dc.type | text |