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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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