{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,5]],"date-time":"2025-10-05T04:21:43Z","timestamp":1759638103061},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1997,12]]},"abstract":"<jats:p> We introduce several equivalent notions that generalize ones introduced by Klaus Wagner for finite Muller automata under the name of chains and superchains. We define such objects in relation to \u03c9-rational sets, Muller automata or also \u03c9-semigroups. We prove their equivalence and derive some basic properties of these objects. In a subsequent paper, we show how these concepts allow us to derive a new presentation of the hierarchy due to K. Wagner and W. Wadge. <\/jats:p>","DOI":"10.1142\/s0218196797000290","type":"journal-article","created":{"date-parts":[[2003,10,21]],"date-time":"2003-10-21T00:36:45Z","timestamp":1066696605000},"page":"673-695","source":"Crossref","is-referenced-by-count":20,"title":["Chains and Superchains for \u03c9-Rational Sets, Automata and Semigroups"],"prefix":"10.1142","volume":"07","author":[{"given":"Olivier","family":"Carton","sequence":"first","affiliation":[{"name":"Institut Gaspard Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 2, rue de la butte verte, 93166 Noisy le Grand Cedex, France"}]},{"given":"Dominique","family":"Perrin","sequence":"additional","affiliation":[{"name":"Institut Gaspard Monge, Universit\u00e9 de Marne-la-Vall\u00e9e, 2, rue de la butte verte, 93166 Noisy le Grand Cedex, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196797000290","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:54:40Z","timestamp":1565128480000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196797000290"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,12]]},"references-count":0,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1997,12]]}},"alternative-id":["10.1142\/S0218196797000290"],"URL":"https:\/\/doi.org\/10.1142\/s0218196797000290","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,12]]}}}