Scott-open distributive filters and prime elements of quantales
| Authors | |
|---|---|
| Year of publication | 2004 |
| Type | Article in Proceedings |
| Conference | Contributions to General Algebra 15 - Proceedings of the Klagenfurt Conference 2003 on General Algebra (AAA 66) |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Quantale; cm-lattice; prime element; distributive filter; Scott-open filter |
| Description | In 2002, D. Kruml introduced the notion of a distributive quantale and proved, assuming the Axiom of Choice, that any algebraic distributive quantale is spatial. In this paper we present a generalization of this result that any continuous distributive quantale is spatial. Basics of the theory of radical nuclei are developed. |
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