On simple and semisimple quantales
| dc.creator | Kruml, David | |
| dc.creator | Paseka, Jan | |
| dc.date | 2002-09-27 | |
| dc.date.accessioned | 2026-07-07T04:51:19Z | |
| dc.date.available | 2026-07-07T04:51:19Z | |
| dc.description | In a recent paper, J. W. Pelletier and J. Rosicky published a characterization of *-simple *-quantales. Their results were adapted for the case of simple quantales by J. Paseka. In this paper we present similar characterizations which do not use a notion of discrete quantale. We also show a completely new characterization based on separating and cyclic sets. Further we explain a link to simple quantale modules. To apply these characterizations, we study (*-)semisimple (*-)quantales and discuss some other perspectives. Our approach has connections with several earlier works on the subject. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209385 | |
| dc.identifier | http://arxiv.org/abs/math/0209385 | |
| dc.identifier | Topology Atlas Invited Contributions vol. 7, no. 2 (2002) 13 pp | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65104 | |
| dc.subject | Operator Algebras | |
| dc.subject | 06F07 | |
| dc.title | On simple and semisimple quantales | |
| dc.type | text |