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@inproceedings{562114, author = {Paseka, Jan}, address = {Klagenfurt}, booktitle = {Contributions to General Algebra 15 - Proceedings of the Klagenfurt Conference 2003 on General Algebra (AAA 66)}, keywords = {Quantale; cm-lattice; prime element; distributive filter; Scott-open filter}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Klagenfurt}, isbn = {3-7084-0121-2}, pages = {87-98}, publisher = {Verlag Johannes Heyn}, title = {Scott-open distributive filters and prime elements of quantales}, year = {2004} }
TY - JOUR ID - 562114 AU - Paseka, Jan PY - 2004 TI - Scott-open distributive filters and prime elements of quantales PB - Verlag Johannes Heyn CY - Klagenfurt SN - 3708401212 KW - Quantale KW - cm-lattice KW - prime element KW - distributive filter KW - Scott-open filter N2 - 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. ER -
PASEKA, Jan. Scott-open distributive filters and prime elements of quantales. In \textit{Contributions to General Algebra 15 - Proceedings of the Klagenfurt Conference 2003 on General Algebra (AAA 66)}. Klagenfurt: Verlag Johannes Heyn, 2004, s.~87-98. ISBN~3-7084-0121-2.
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