{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T19:39:48Z","timestamp":1725565188001},"publisher-location":"Berlin, Heidelberg","reference-count":20,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642155819"},{"type":"electronic","value":"9783642155826"}],"license":[{"start":{"date-parts":[[2010,1,1]],"date-time":"2010-01-01T00:00:00Z","timestamp":1262304000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-15582-6_40","type":"book-chapter","created":{"date-parts":[[2010,9,10]],"date-time":"2010-09-10T09:15:44Z","timestamp":1284110144000},"page":"233-244","source":"Crossref","is-referenced-by-count":4,"title":["New Algorithms for Computing Primary Decomposition of Polynomial Ideals"],"prefix":"10.1007","author":[{"given":"Masayuki","family":"Noro","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"40_CR1","unstructured":"Risa\/Asir, A.: computer algebra system, \n                    \n                      http:\/\/www.math.kobe-u.ac.jp\/Asir\/asir.html"},{"key":"40_CR2","unstructured":"Macaulay 2 home page, \n                    \n                      http:\/\/www.math.uiuc.edu\/Macaulay2\/"},{"key":"40_CR3","unstructured":"OpenXM committers, OpenXM, a project to integrate mathematical software systems (1998-2010), \n                    \n                      http:\/\/www.openxm.org"},{"key":"40_CR4","unstructured":"Decker, W., Greuel, G.-M., Pfister, G., Sch\u00f6nemann, H.: Singular 3-1-1 \u2014 A computer algebra system for polynomial computations, \n                    \n                      http:\/\/www.singular.uni-kl.de\/"},{"key":"40_CR5","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.jsc.2009.06.004","volume":"45","author":"R. Bahloul","year":"2010","unstructured":"Bahloul, R., Oaku, T.: Local Bernstein-Sato ideals: algorithm and examples. J. Symb. Comp.\u00a045, 46\u201359 (2010)","journal-title":"J. Symb. Comp."},{"key":"40_CR6","first-page":"187","volume-title":"Algorithmic Algebra and Number Theory","author":"W. Decker","year":"1998","unstructured":"Decker, W., Greuel, G.-M., Pfister, G.: Primary decomposition: Algorithms and comparisons. In: Algorithmic Algebra and Number Theory, pp. 187\u2013220. Springer, Heidelberg (1998)"},{"key":"40_CR7","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/978-1-4612-4108-9_8","volume-title":"Mathematical Essays in Honor of Gian-Carlo Rota","author":"P. Diaconis","year":"1998","unstructured":"Diaconis, P., Eisenbud, D., Sturmfels, B.: Lattice walks and primary decomposition. In: Sagan, B., Stanley, R. (eds.) Mathematical Essays in Honor of Gian-Carlo Rota, pp. 173\u2013194. Birkh\u00e4user, Basel (1998)"},{"key":"40_CR8","doi-asserted-by":"publisher","first-page":"207","DOI":"10.1007\/BF01231331","volume":"110","author":"D. Eisenbud","year":"1992","unstructured":"Eisenbud, D., Huneke, C., Vasconcelos, W.: Direct methods for primary decomposition. Invent. Math.\u00a0110, 207\u2013235 (1992)","journal-title":"Invent. Math."},{"key":"40_CR9","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1215\/S0012-7094-96-08401-X","volume":"84","author":"D. Eisenbud","year":"1996","unstructured":"Eisenbud, D., Sturmfels, B.: Binomial Ideals. Duke Math. J.\u00a084, 1\u201345 (1996)","journal-title":"Duke Math. J."},{"key":"40_CR10","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/S0747-7171(88)80040-3","volume":"6","author":"P. Gianni","year":"1988","unstructured":"Gianni, P., Trager, B., Zacharias, G.: Gr\u00f6bner basis and primary decomposition of polynomial ideals. J. Symb. Comp.\u00a06, 149\u2013167 (1988)","journal-title":"J. Symb. Comp."},{"key":"40_CR11","doi-asserted-by":"publisher","first-page":"625","DOI":"10.1006\/jsco.1999.0397","volume":"29","author":"S. Ho\u015ften","year":"2000","unstructured":"Ho\u015ften, S., Shapiro, J.: Primary Decomposition of Lattice Basis Ideals. J. Symb. Comp.\u00a029, 625\u2013639 (2000)","journal-title":"J. Symb. Comp."},{"key":"40_CR12","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1145\/1145768.1145802","volume-title":"Proc. ISSAC 2006","author":"S. Laplagne","year":"2006","unstructured":"Laplagne, S.: An Algorithm for the Computation of the Radical of an Ideal. In: Proc. ISSAC 2006, pp. 191\u2013195. ACM Press, New York (2006)"},{"key":"40_CR13","first-page":"102","volume-title":"Proc. ASCM 2001","author":"M. Maekawa","year":"2001","unstructured":"Maekawa, M., Noro, M., Ohara, K., Takayama, N., Tamura, Y.: The Design and Implementation of OpenXM-RFC 100 and 101. In: Proc. ASCM 2001, pp. 102\u2013111. World Scientific, Singapore (2001)"},{"key":"40_CR14","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1016\/j.jsc.2010.01.003","volume":"45","author":"K. Nishiyama","year":"2010","unstructured":"Nishiyama, K., Noro, M.: Stratification associated with local b-functions. J. Symb. Comp.\u00a045, 462\u2013480 (2010)","journal-title":"J. Symb. Comp."},{"key":"40_CR15","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1006\/aama.1997.0527","volume":"19","author":"T. Oaku","year":"1997","unstructured":"Oaku, T.: Algorithms for b-Functions, Restrictions, and Algebraic Local Cohomology Groups of D-Modules. Advances in Applied Mathematics\u00a019, 61\u2013105 (1997)","journal-title":"Advances in Applied Mathematics"},{"key":"40_CR16","unstructured":"Shibuta, T.: An algorithm for computing multiplier ideals (2010) (preprint), arXiv:0807.4302v6"},{"key":"40_CR17","doi-asserted-by":"publisher","first-page":"247","DOI":"10.1006\/jsco.1996.0052","volume":"22","author":"T. Shimoyama","year":"1996","unstructured":"Shimoyama, T., Yokoyama, K.: Localization and Primary Decomposition of Polynomial ideals. J. Symb. Comp.\u00a022, 247\u2013277 (1996)","journal-title":"J. Symb. Comp."},{"issue":"2","key":"40_CR18","doi-asserted-by":"publisher","first-page":"27","DOI":"10.3792\/pjaa.86.27","volume":"86","author":"T. Shioda","year":"2010","unstructured":"Shioda, T.: Gr\u00f6bner basis, Mordell-Weill lattices and deformation of singularities, II. Proc. Japan Acad. Ser. A Math. Sci.\u00a086(2), 27\u201332 (2010)","journal-title":"Proc. Japan Acad. Ser. A Math. Sci."},{"key":"40_CR19","volume-title":"CBMS Regional Conference Series in Mathematics","author":"B. Sturmfels","year":"2002","unstructured":"Sturmfels, B.: Solving Systems of Polynomial Equations. In: CBMS Regional Conference Series in Mathematics, vol.\u00a097. AMS, Providence (2002)"},{"key":"40_CR20","volume-title":"Algorithms and Computation in Mathematics","author":"W. Vasconcelos","year":"1998","unstructured":"Vasconcelos, W.: Computational Methods in Commutative Algebra and Algebraic Geometry. In: Algorithms and Computation in Mathematics, vol.\u00a02. Springer, Heidelberg (1998)"}],"container-title":["Lecture Notes in Computer Science","Mathematical Software \u2013 ICMS 2010"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-15582-6_40","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,19]],"date-time":"2019-05-19T22:02:16Z","timestamp":1558303336000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-15582-6_40"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642155819","9783642155826"],"references-count":20,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-15582-6_40","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}