{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:00:58Z","timestamp":1760061658132,"version":"3.40.3"},"publisher-location":"Cham","reference-count":10,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319986531"},{"type":"electronic","value":"9783319986548"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-99639-4_19","type":"book-chapter","created":{"date-parts":[[2018,8,22]],"date-time":"2018-08-22T15:43:34Z","timestamp":1534952614000},"page":"272-287","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Effective Localization Using Double Ideal Quotient and Its Implementation"],"prefix":"10.1007","author":[{"given":"Yuki","family":"Ishihara","sequence":"first","affiliation":[]},{"given":"Kazuhiro","family":"Yokoyama","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,8,23]]},"reference":[{"key":"19_CR1","series-title":"Addison-Wesley Series in Mathematics","volume-title":"Introduction to Commutative Algebra","author":"MF Atiyah","year":"1994","unstructured":"Atiyah, M.F., MacDonald, I.G.: Introduction to Commutative Algebra. Addison-Wesley Series in Mathematics. Avalon Publishing, New York (1994)"},{"issue":"1","key":"19_CR2","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. Inventi. Math. 110(1), 207\u2013235 (1992)","journal-title":"Inventi. Math."},{"issue":"2","key":"19_CR3","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 bases and primary decomposition of polynomial ideals. J. Symb. Comput. 6(2), 149\u2013167 (1988)","journal-title":"J. Symb. Comput."},{"key":"19_CR4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-04963-1","volume-title":"A Singular Introduction to Commutative Algebra","author":"G-M Greuel","year":"2002","unstructured":"Greuel, G.-M., Pfister, G.: A Singular Introduction to Commutative Algebra. Springer, Heidelberg (2002). \n                    https:\/\/doi.org\/10.1007\/978-3-662-04963-1"},{"issue":"10","key":"19_CR5","doi-asserted-by":"publisher","first-page":"1158","DOI":"10.1016\/j.jsc.2011.06.001","volume":"46","author":"T Kawazoe","year":"2011","unstructured":"Kawazoe, T., Noro, M.: Algorithms for computing a primary ideal decomposition without producing intermediate redundant components. J. Symb. Comput. 46(10), 1158\u20131172 (2011)","journal-title":"J. Symb. Comput."},{"key":"19_CR6","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/978-3-642-59932-3_10","volume-title":"Algorithmic Algebra and Number Theory","author":"BH Matzat","year":"1999","unstructured":"Matzat, B.H., Greuel, G.-M., Hiss, G.: Primary decomposition: algorithms and comparisons. In: Matzat, B.H., Greuel, G.M., Hiss, G. (eds.) Algorithmic Algebra and Number Theory, pp. 187\u2013220. Springer, Heidelberg (1999). \n                    https:\/\/doi.org\/10.1007\/978-3-642-59932-3_10"},{"key":"19_CR7","unstructured":"The Risa\/Asir developing team: Risa\/Asir. A computer algebra system. \n                    http:\/\/www.math.kobe-u.ac.jp\/Asir"},{"issue":"3","key":"19_CR8","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. Comput. 22(3), 247\u2013277 (1996)","journal-title":"J. Symb. Comput."},{"key":"19_CR9","doi-asserted-by":"crossref","unstructured":"Sturmfels, B.: Solving systems of polynomial equations. In: CBMS Regional Conference Series. American Mathematical Society, no. 97 (2002)","DOI":"10.1090\/cbms\/097"},{"key":"19_CR10","series-title":"Algorithms and Computation in Mathematics","volume-title":"Computational Methods in Commutative Algebra and Algebraic Geometry","author":"W Vasconcelos","year":"2004","unstructured":"Vasconcelos, W.: Computational Methods in Commutative Algebra and Algebraic Geometry. Algorithms and Computation in Mathematics. Springer, Heidelberg (2004)"}],"container-title":["Lecture Notes in Computer Science","Developments in Language Theory"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-99639-4_19","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,9,2]],"date-time":"2018-09-02T20:41:26Z","timestamp":1535920886000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-99639-4_19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319986531","9783319986548"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-99639-4_19","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]}}}