{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,1]],"date-time":"2025-10-01T16:26:21Z","timestamp":1759335981680},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2001,6]]},"abstract":"<jats:p> R\u00e9sum\u00e9: Cet article pr\u00e9sente une \u00e9tude combinatoire du mono\u00efde Chinois, un mono\u00efde ternaire proche du mono\u00efde plaxique, fond\u00e9 sur le sch\u00e9ma cba\u2261bca\u2261cab. Un algorithme proche de l'algorithme de Schensted nous permet de caract\u00e9riser les classes d'\u00e9quivalence et d'exhiber une section du mono\u00efde. Nous \u00e9non\u00e7ons \u00e9galement une correspondance de Robinson\u2013Schensted pour le mono\u00efde Chinois avant de nous int\u00e9resser au calcul du cardinal de certaines classes. Ce travail a permis de d\u00e9velopper de nouveaux outils combinatoires. Entre autres, nous avons trouv\u00e9 un plongement de chacune des classes d'\u00e9quivalence dans la plus grande classe. Quant \u00e0 la derni\u00e8re partie de cet article, elle pr\u00e9sente l'\u00e9tude des relations de conjugaison. <\/jats:p><jats:p> <\/jats:p><jats:p> This paper presents a combinatorial study of the Chinese monoid, a ternary monoid related to the plactic monoid and based on the relation scheme cba\u2261bca\u2261cab. An algorithm similar to Schensted's algorithm yields a characterization of the equivalence classes and a cross-section theorem. We also establish a Robinson\u2013Schensted correspondence for the Chinese monoid before computing the order of specific Chinese classes. For this work, we had to develop some new combinatorial tools. Among other things we discovered an embedding of every equivalence class in the largest one. Finally, the end of this paper is devoted to the study of conjugacy classes. <\/jats:p>","DOI":"10.1142\/s0218196701000425","type":"journal-article","created":{"date-parts":[[2002,7,27]],"date-time":"2002-07-27T10:58:59Z","timestamp":1027767539000},"page":"301-334","source":"Crossref","is-referenced-by-count":26,"title":["THE CHINESE MONOID"],"prefix":"10.1142","volume":"11","author":[{"given":"JULIEN","family":"CASSAIGNE","sequence":"first","affiliation":[{"name":"IML \u2013 CNRS, Case 907, 163 avenue de Luminy, 13288 Marseille Cedex 9, France"}]},{"given":"MARC","family":"ESPIE","sequence":"additional","affiliation":[{"name":"LIAFA \u2013 Universit\u00e9 Paris 7, 2 place Jussieu, 75251 Paris Cedex 05, France"}]},{"given":"DANIEL","family":"KROB","sequence":"additional","affiliation":[{"name":"LIAFA \u2013 Universit\u00e9 Paris 7, 2 place Jussieu, 75251 Paris Cedex 05, France"}]},{"given":"JEAN-CHRISTOPHE","family":"NOVELLI","sequence":"additional","affiliation":[{"name":"LIAFA \u2013 Universit\u00e9 Paris 7, 2 place Jussieu, 75251 Paris Cedex 05, France"}]},{"given":"FLORENT","family":"HIVERT","sequence":"additional","affiliation":[{"name":"IGM \u2013 Universit\u00e9 de Marne-la-Vall\u00e9e, 77454 Marne-la-Vall\u00e9e Cedex 2, France"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1016\/0001-8708(74)90031-0"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1970.34.709"},{"key":"p_7","first-page":"326","author":"Krob D.","year":"1997","journal-title":"C. Krattenthaler"},{"key":"p_8","first-page":"129","volume":"109","author":"Lascoux A.","year":"1981","journal-title":"Rome"},{"key":"p_12","first-page":"460","author":"Novelli J.-C.","year":"1997","journal-title":"C. Krattenthaler"},{"key":"p_13","doi-asserted-by":"publisher","DOI":"10.2307\/2371609"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1961-015-3"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0090012"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196701000425","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:55:16Z","timestamp":1565128516000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196701000425"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,6]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2001,6]]}},"alternative-id":["10.1142\/S0218196701000425"],"URL":"https:\/\/doi.org\/10.1142\/s0218196701000425","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2001,6]]}}}