{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,19]],"date-time":"2025-03-19T13:02:23Z","timestamp":1742389343703},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Parallel Process. Lett."],"published-print":{"date-parts":[[1996,3]]},"abstract":"<jats:p> In this paper, we deal with modular mappings as introduced by Lee and Fortes [15,14,13], and we build upon their results. Our main contribution is a characterization of one-to-one modular mappings that is valid even when the source domain and the target domain of the transformation have the same size but not the same shape. This characterization is constructive, and a procedure to test the injectivity of a given transformation is presented. <\/jats:p>","DOI":"10.1142\/s0129626496000157","type":"journal-article","created":{"date-parts":[[2004,10,28]],"date-time":"2004-10-28T14:29:23Z","timestamp":1098973763000},"page":"145-157","source":"Crossref","is-referenced-by-count":7,"title":["A CHARACTERIZATION OF ONE-TO-ONE MODULAR MAPPINGS"],"prefix":"10.1142","volume":"06","author":[{"given":"ALAIN","family":"DARTE","sequence":"first","affiliation":[{"name":"Laboratoire LIP, URA CNRS 1398 Ecole Normale Sup\u00e9rieure de Lyon, F-69364 LYON, 07, Cedex"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MICH\u00c8LE","family":"DION","sequence":"additional","affiliation":[{"name":"Laboratoire LIP, URA CNRS 1398 Ecole Normale Sup\u00e9rieure de Lyon, F-69364 LYON, 07, Cedex"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"YVES","family":"ROBERT","sequence":"additional","affiliation":[{"name":"Laboratoire LIP, URA CNRS 1398 Ecole Normale Sup\u00e9rieure de Lyon, F-69364 LYON, 07, Cedex"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["Parallel Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0129626496000157","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T12:18:39Z","timestamp":1565093919000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0129626496000157"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1996,3]]},"references-count":0,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1996,3]]}},"alternative-id":["10.1142\/S0129626496000157"],"URL":"https:\/\/doi.org\/10.1142\/s0129626496000157","relation":{},"ISSN":["0129-6264","1793-642X"],"issn-type":[{"value":"0129-6264","type":"print"},{"value":"1793-642X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1996,3]]}}}