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@inproceedings{405646,
author = {Kruml, David and Paseka, Jan},
address = {Toronto},
booktitle = {Topology Atlas Invited Contributions},
keywords = {simple quantale; semisimple quantale},
language = {eng},
location = {Toronto},
pages = {1-13},
publisher = {Topology Atlas},
title = {On simple and semisimple quantales},
url = {http://at.yorku.ca/t/a/i/c/46.htm},
year = {2002}
}
TY - JOUR
ID - 405646
AU - Kruml, David - Paseka, Jan
PY - 2002
TI - On simple and semisimple quantales
PB - Topology Atlas
CY - Toronto
KW - simple quantale
KW - semisimple quantale
UR - http://at.yorku.ca/t/a/i/c/46.htm
N2 - 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.
ER -
KRUML, David a Jan PASEKA. On simple and semisimple quantales. In \textit{Topology Atlas Invited Contributions}. Toronto: Topology Atlas, 2002, s.~1-13. ISSN~1703-0048.
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