On simple and semisimple quantales
| Autoři | |
|---|---|
| Rok publikování | 2002 |
| Druh | Článek ve sborníku |
| Konference | Topology Atlas Invited Contributions |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://at.yorku.ca/t/a/i/c/46.htm |
| Obor | Obecná matematika |
| Klíčová slova | simple quantale; semisimple quantale |
| Popis | 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. |
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