{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T10:47:56Z","timestamp":1758278876989,"version":"3.41.0"},"reference-count":15,"publisher":"Association for Computing Machinery (ACM)","issue":"1-2","license":[{"start":{"date-parts":[[2007,3,1]],"date-time":"2007-03-01T00:00:00Z","timestamp":1172707200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2007,3]]},"abstract":"<jats:p>\n            A Wronskian (resp. Casoratian) criterion is useful to test linear dependence of elements in a differential (resp. difference) field over constants. We generalize this criterion for invertible hyperexponential elements in a differential-difference ring extension over a field\n            <jats:italic>F<\/jats:italic>\n            . The generalization also enables us to connect similarity and\n            <jats:italic>F<\/jats:italic>\n            -linear dependence of invertible hyperexponential elements.\n          <\/jats:p>","DOI":"10.1145\/1296772.1296773","type":"journal-article","created":{"date-parts":[[2007,10,19]],"date-time":"2007-10-19T16:11:36Z","timestamp":1192810296000},"page":"3-11","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Testing linear dependence of hyperexponential elements"],"prefix":"10.1145","volume":"41","author":[{"given":"Ziming","family":"Li","sequence":"first","affiliation":[{"name":"Chinese Academy of Sciences, Beijing, China"}]},{"given":"Min","family":"Wu","sequence":"additional","affiliation":[{"name":"East China Normal University, Shanghai, China"}]},{"given":"Dabin","family":"Zheng","sequence":"additional","affiliation":[{"name":"Hu Bei University, Hubei Province, China"}]}],"member":"320","published-online":{"date-parts":[[2007,3]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/1073884.1073896"},{"volume-title":"Inc.","year":"1993","author":"Brown W. C.","key":"e_1_2_1_2_1"},{"key":"e_1_2_1_3_1","unstructured":"R. M. Cohn. Difference Algebra. Intersci. Publishers New York 1965.  R. M. Cohn. Difference Algebra . Intersci. Publishers New York 1965."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1998.0251"},{"volume-title":"New York-London","year":"1973","author":"Kolchin E. R.","key":"e_1_2_1_5_1"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1005285.1005317"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(03)00090-7"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1145768.1145806"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/s11424-006-0352-5"},{"volume-title":"Ltd","year":"1996","author":"Petkov\u0161ek M.","key":"e_1_2_1_10_1"},{"volume-title":"Springer","year":"1997","author":"van der Put M.","key":"e_1_2_1_11_1"},{"volume-title":"Springer","year":"2003","author":"van der Put M.","key":"e_1_2_1_12_1"},{"key":"e_1_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1976.65.485"},{"key":"e_1_2_1_14_1","unstructured":"M. F. Singer. Private communication. 2007.  M. F. Singer. Private communication . 2007."},{"volume-title":"Chinese Academy of Sciences and Universit\u00e9 de Nice","year":"2005","author":"Wu M.","key":"e_1_2_1_15_1"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1296772.1296773","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1296772.1296773","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T14:58:10Z","timestamp":1750258690000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1296772.1296773"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3]]},"references-count":15,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2007,3]]}},"alternative-id":["10.1145\/1296772.1296773"],"URL":"https:\/\/doi.org\/10.1145\/1296772.1296773","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2007,3]]},"assertion":[{"value":"2007-03-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}