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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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