{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T09:11:07Z","timestamp":1742980267386,"version":"3.40.3"},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540405542"},{"type":"electronic","value":"9783540450849"}],"license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2003]]},"DOI":"10.1007\/3-540-45084-x_7","type":"book-chapter","created":{"date-parts":[[2007,7,3]],"date-time":"2007-07-03T16:05:12Z","timestamp":1183478712000},"page":"168-182","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dynamical Aspects of Involutive Bases Computations"],"prefix":"10.1007","author":[{"given":"Ralf","family":"Hemmecke","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2003,6,24]]},"reference":[{"issue":"6","key":"7_CR1","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1006\/jsco.1997.0194","volume":"25","author":"J. Apel","year":"1998","unstructured":"Joachim Apel. The theory of involutive divisions and an application to Hilbert function computations. Journal of Symbolic Computation, 25(6):683\u2013704, June 1998.","journal-title":"Journal of Symbolic Computation"},{"key":"7_CR2","volume-title":"Zu Berechenbarkeitsfragen der Idealtheorie","author":"J. Apel","year":"1998","unstructured":"Joachim Apel. Zu Berechenbarkeitsfragen der Idealtheorie. Habilitationsschrift, Universit\u00e4t Leipzig, Fakult\u00e4t f\u00fcr Mathematik und Informatik, Augustusplatz 10-11, 04109 Leipzig, 1998."},{"key":"7_CR3","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1007\/978-94-009-5225-6_6","volume-title":"Recent Trends in Multidimensional Systems Theory","author":"B. Buchberger","year":"1985","unstructured":"Bruno Buchberger. Gr\u00f6bner bases: An algorithmic method in polynomial ideal theory. In N. K. Bose, editor, Recent Trends in Multidimensional Systems Theory, chapter 6, pages 184\u2013232. D. Reidel Publishing Company, Dordrecht, The Netherlands, 1985."},{"key":"7_CR4","doi-asserted-by":"publisher","first-page":"519","DOI":"10.1016\/S0378-4754(97)00127-4","volume":"45","author":"V. P. Gerdt","year":"1998","unstructured":"Vladimir P. Gerdt and Yuri A. Blinkov. Involutive bases of polynomial ideals. Mathematics and Computers in Simulation, 45:519\u2013541, 1998.","journal-title":"Mathematics and Computers in Simulation"},{"key":"7_CR5","first-page":"65","volume":"3","author":"M. Janet","year":"1920","unstructured":"Maurice Janet. Les syst\u00e8mes d\u2019\u00e9quations aux d\u00e9riv\u00e9es partielles. Journal de Mathematique. 8e\n                           s\u00e9rie, 3:65\u2013151, 1920.","journal-title":"Journal de Mathematique. 8e s\u00e9rie"},{"key":"7_CR6","series-title":"Mathematics and Its Applications","volume-title":"Systems of Partial Differential Equations and Lie Pseudogroups","author":"J.-F. Pommaret","year":"1978","unstructured":"Jean-Fran\u00e7ois Pommaret. Systems of Partial Differential Equations and Lie Pseudogroups, volume 14 of Mathematics and Its Applications. Gordon and Breach Science Publishers, Inc., One Park Avenue, New York, NY 10016, 1978."},{"key":"7_CR7","volume-title":"Differential Systems","author":"J. M. Thomas","year":"1937","unstructured":"Joseph Miller Thomas. Differential Systems. American Mathematical Society, New York, 1937."},{"key":"7_CR8","first-page":"11","volume-title":"Proceedings of the 1993 International IMACS Symposium on Symbolic Computation","author":"A. Yu. Zharkov","year":"1993","unstructured":"A. Yu. Zharkov and Yuri A. Blinkov. Involution approach to solving systems of algebraic equations. In G. Jacob, N. E. Oussous, and S. Steinberg, editors, Proceedings of the 1993 International IMACS Symposium on Symbolic Computation, pages 11\u201316. IMACS, Laboratoire d\u2019Informatique Fondamentale de Lille, France, 1993."}],"container-title":["Lecture Notes in Computer Science","Symbolic and Numerical Scientific Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-45084-X_7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,8]],"date-time":"2023-02-08T22:00:13Z","timestamp":1675893613000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/3-540-45084-X_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003]]},"ISBN":["9783540405542","9783540450849"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/3-540-45084-x_7","relation":{},"ISSN":["0302-9743"],"issn-type":[{"type":"print","value":"0302-9743"}],"subject":[],"published":{"date-parts":[[2003]]},"assertion":[{"value":"24 June 2003","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}