{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T04:13:14Z","timestamp":1776831194293,"version":"3.51.2"},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[1994,1,1]],"date-time":"1994-01-01T00:00:00Z","timestamp":757382400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[1994,1]]},"DOI":"10.1007\/bf01196621","type":"journal-article","created":{"date-parts":[[2005,2,18]],"date-time":"2005-02-18T11:09:20Z","timestamp":1108724960000},"page":"1-8","source":"Crossref","is-referenced-by-count":11,"title":["On Gr\ufffdbner bases under specialization"],"prefix":"10.1007","volume":"5","author":[{"given":"Thomas","family":"Becker","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"CR1","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1006\/jsco.1993.1003","volume":"15\/1","author":"W. W. Adams","year":"1993","unstructured":"Adams, W. W., Boyle, A., Loustaunau, P.: Transitivity for weak and strong Gr\u00f6bner bases. J. Symb. Comp.15\/1, 49?65 (1993)","journal-title":"J. Symb. Comp."},{"key":"CR2","volume-title":"Graduate Texts in Mathematics","author":"T. Becker","year":"1993","unstructured":"Becker, T., Weispfenning, V., Kredel, H.: Gr\u00f6bner Bases. A Computational Approach to Commutative Algebra. Graduate Texts in Mathematics. Berlin Heidelberg New York: Springer 1993"},{"key":"CR3","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1007\/BF01844169","volume":"4\/3","author":"B. Buchberger","year":"1970","unstructured":"Buchberger, B.: Ein algorithmisches Kriterium f\u00fcr die L\u00f6sbarkeit eines algebraischen Glei-chungssystems. Aequ. Math.4\/3, 374?383 (1970).","journal-title":"Aequ. Math."},{"key":"CR4","first-page":"293","volume-title":"Lecture Notes in Computer Science vol. 378","author":"P. Gianni","year":"1987","unstructured":"Gianni, P.: Properties of Gr\u00f6bner bases under specializations. In: Davenport, J. H. (ed.) EUROCAL ?87, European Conference on Computer Algebra. Lecture Notes in Computer Science vol. 378, 293?297. Berlin Heidelberg New York: Springer 1987"},{"issue":"3","key":"CR5","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0747-7171(88)80040-3","volume":"6\/2","author":"P. Gianni","year":"1988","unstructured":"Gianni, P., Trager, B., Zacharias, G.: Gr\u00f6bner bases and primary decomposition of polynomial ideals. J. Symb. Comp.6\/2, 3, 149?167 (1988)","journal-title":"J. Symb. Comp."},{"key":"CR6","first-page":"282","volume-title":"Lecture Notes in Computer Science vol. 378","author":"M. Kalkbrener","year":"1987","unstructured":"Kalkbrener, M.: Solving systems of algebraic equations by using Gr\u00f6bner bases. In: Davenport, J. H. (ed.) EUROCAL ?87, European Conference on Computer Algebra. Lecture Notes in Computer Science vol. 378, 282?292. Berlin Heidelberg New York: Springer 1987"},{"key":"CR7","first-page":"195","volume-title":"Lecture Notes in Mathematics, vol. 174","author":"A. Kandri-Rody","year":"1984","unstructured":"Kandri-Rody, A., Kapur, D.: Algorithms for computing Gr\u00f6bner bases of polynomial ideals over various Euclidean rings. In: Fitch, J. (ed.) EUROSAM ?84, International Symposium on Symbolic and Algebraic Computation. Lecture Notes in Mathematics, vol. 174, 195?206. Berlin Heidelberg New York: Springer 1984"},{"key":"CR8","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/S0747-7171(88)80020-8","volume":"6\/1","author":"A. Kandri-Rody","year":"1988","unstructured":"Kandri-Rody, A., Kapur, D.: Computing a Gr\u00f6bner basis of a polynomial ideal over a Euclidean domain. J. Symb. Comp.6\/1, 37?57 (1988)","journal-title":"J. Symb. Comp."},{"key":"CR9","first-page":"339","volume-title":"Canonical representatives for the residue classes of a polynomial ideal","author":"M. Lauer","year":"1976","unstructured":"Lauer, M.: Canonical representatives for the residue classes of a polynomial ideal. In: Jenks, R. D. (ed.) 1976 ACM Symposium on Symbolic and Algebraic Computation, pp. 339?345. New York: ACM Press 1976"},{"key":"CR10","unstructured":"Mark, W.: Gr\u00f6bnerbasen \u00fcber Hauptidealringen und euklidischen Ringen. Diploma thesis, Universit\u00e4t plPassau (1992)"},{"issue":"3","key":"CR11","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/S0747-7171(88)80052-X","volume":"6\/2","author":"H. M. M\u00f6ller","year":"1988","unstructured":"M\u00f6ller, H. M.: On the construction of Gr\u00f6bner bases using syzygies. J. Symb. Comp.6\/2, 3, 345?359 (1988)","journal-title":"J. Symb. Comp."},{"key":"CR12","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1016\/S0747-7171(89)80006-9","volume":"7\/1","author":"L. Pan","year":"1989","unstructured":"Pan, L.: On the D-bases of polynomial ideals over principal ideal domains. J. Symb. Comp.7\/1, 55?69 (1989)","journal-title":"J. Symb. Comp."},{"key":"CR13","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1090\/S0002-9947-1974-0349648-2","volume":"197","author":"A. Seidenberg","year":"1974","unstructured":"Seidenberg, A.: Constructions in algebra. Trans. Am. Math. Soc.197, 272?313 (1974)","journal-title":"Trans. Am. Math. Soc."},{"key":"CR14","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1080\/00029890.1952.11988146","volume":"59\/6","author":"G. Szekeres","year":"1952","unstructured":"Szekeres, G.: A canonical basis for the ideals of a polynomial domain. Am. Math. Mon.59\/6, 379?386 (1952)","journal-title":"Am. Math. Mon."},{"key":"CR15","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0747-7171(92)90023-W","volume":"14\/1","author":"V. Weispfenning","year":"1992","unstructured":"Weispfenning, V.: Comprehensive Gr\u00f6bner bases. J. Symb. Comp.14\/1, 1?29 (1992)","journal-title":"J. Symb. Comp."},{"key":"CR16","unstructured":"Zacharias, G.: Generalized Gr\u00f6bner Bases in Commutative Polynomial Rings. Bachelor Thesis, Lab. for Computer Science, MIT (1978)"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01196621.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01196621\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01196621","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,1]],"date-time":"2019-05-01T16:41:50Z","timestamp":1556728910000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01196621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1994,1]]}},"alternative-id":["BF01196621"],"URL":"https:\/\/doi.org\/10.1007\/bf01196621","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,1]]}}}