{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T07:52:18Z","timestamp":1776844338529,"version":"3.51.2"},"reference-count":23,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[1993,6,1]],"date-time":"1993-06-01T00:00:00Z","timestamp":738892800000},"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":[[1993,6]]},"DOI":"10.1007\/bf01386834","type":"journal-article","created":{"date-parts":[[2005,4,2]],"date-time":"2005-04-02T04:08:27Z","timestamp":1112414907000},"page":"103-145","source":"Crossref","is-referenced-by-count":94,"title":["Gr\ufffdbner bases of ideals defined by functionals with an application to ideals of projective points"],"prefix":"10.1007","volume":"4","author":[{"given":"M. G.","family":"Marinari","sequence":"first","affiliation":[]},{"given":"H. M.","family":"M\ufffdller","sequence":"additional","affiliation":[]},{"given":"T.","family":"Mora","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"CR1","unstructured":"Backelin, J.: Communication at MEGA '90"},{"key":"CR2","doi-asserted-by":"crossref","unstructured":"Backelin, J., Fr\u00f6berg, R.: How we proved that there exactly 924 cyclic 7-roots, Proc. ISSAC 91, 103?111, ACM (1991)","DOI":"10.1145\/120694.120708"},{"key":"CR3","doi-asserted-by":"crossref","unstructured":"Becker, T., Weispfenning, V.: The Chinese remainder, multivariate interpolation and Gr\u00f6bner bases. Proc. ISSAC 91, 64?69, ACM (1991)","DOI":"10.1145\/120694.120703"},{"key":"CR4","unstructured":"Buchberger, B.: Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal, Ph.D. Thesis, Innsbruck, (1965)"},{"key":"CR5","volume-title":"Gr\u00f6bner bases: an algorithmic method in polynomial ideal theory in Recent trends in multidimensional systems theory","author":"B. Buchberger","year":"1985","unstructured":"Buchberger, B.: Gr\u00f6bner bases: an algorithmic method in polynomial ideal theory in Recent trends in multidimensional systems theory, Bose, N. K. (ed.) Dordrecht: Reidel 1985"},{"key":"CR6","first-page":"3","volume-title":"Lecture Notes in Computer Science vol. 72","author":"B. Buchberger","year":"1979","unstructured":"Buchberger, B.: A criterion for detecting unnecessary reductions in the construction of Gr\u00f6bner bases. Proc. Eurosam 79. Lecture Notes in Computer Science vol. 72 pp. 3?21. Berlin, Heidelberg, New York: Springer 1979"},{"key":"CR7","first-page":"24","volume-title":"Lecture Notes in Computer Science vol. 144","author":"B. Buchberger","year":"1982","unstructured":"Buchberger, B., M\u00f6ller, H. M.: The construction of multivariate polynomials with preassigned zeroes, Proc. EUROCAM 82, Lecture Notes in Computer Science vol. 144 pp. 24?31. Berlin, Heidelberg, New York: Springer 1982"},{"key":"CR8","unstructured":"Cerlienco, L., Mureddu, M.: Combinatorial algorithms for polynomial interpolation in dimension ? 2 (in preparation)"},{"key":"CR9","unstructured":"Eliahou, S.: Minimal syzygies of monomial ideals and Gr\u00f6bner bases (preprint)"},{"key":"CR10","unstructured":"Faugere, J. C., Gianni, P., Lazard, D., Mora, T.: Efficient computation of zero-dimensional Gr\u00f6bner bases by change of ordering. J. Symb. Comp. (submitted) (1989)"},{"key":"CR11","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1016\/S0747-7171(88)80048-8","volume":"6","author":"R. Gebauer","year":"1988","unstructured":"Gebauer, R., M\u00f6ller, H. M.: On an installation of Buchberger's Algorithm, J. Symb. Comp.6, 275?286 (1988)","journal-title":"J. Symb. Comp."},{"key":"CR12","first-page":"247","volume-title":"Lecture Notes in Computer Science","author":"P. Gianni","year":"1989","unstructured":"Gianni, P., Mora, T.: Algebraic solution of systems of polynomial equations using Gr\u00f6bner bases. Lecture Notes in Computer Science vol. 356, pp. 247?257. Berlin, Heidelberg, New York: Springer 1989"},{"key":"CR13","first-page":"322","volume-title":"Proc. AAECC 8. Lecture Notes in Computer Science vol. 508","author":"M. Giusti","year":"1991","unstructured":"Giusti, M.: Complexity of standard bases in projective dimension zero II. Proc. AAECC 8. Lecture Notes in Computer Science vol. 508, pp. 322?328. Berlin, Heidelberg, New York: Springer 1991"},{"key":"CR14","doi-asserted-by":"crossref","unstructured":"Giusti, M., Heintz, J.: Algorithmes ? disons rapides ? pour la d\u00e9composition d'une vari\u00e9t\u00e9 en composantes irr\u00e9ductibles et \u00e9quidimensionnelles, Proc. MEGA '90. Basel: Birkh\u00e4user 1991","DOI":"10.1007\/978-1-4612-0441-1_11"},{"key":"CR15","unstructured":"Gr\u00f6bner, W.: Algebraische Geometrie, Vol. 2, Bibliographisches Institut Mannheim (1967?1968)"},{"key":"CR16","volume-title":"Functional analysis","author":"H. G. Heuser","year":"1982","unstructured":"Heuser, H. G.: Functional analysis. New York: Wiley 1982"},{"key":"CR17","volume-title":"Proc. MEGA '90","author":"Y. N. Lakshman","year":"1991","unstructured":"Lakshman, Y. N.: A single exponential bound on the complexity of computing Gr\u00f6bner bases of zero dimensional ideals. Proc. MEGA '90. Basel: Birkhauser 1991"},{"key":"CR18","volume-title":"Ph.D. Thesis","author":"Y. N. Lakshman","year":"1990","unstructured":"Lakshman, Y. N.: On the complexity of computing Gr\u00f6bner bases of zero dimensional ideals, Ph.D. Thesis, Rensselaer Polytechnique Institute, Troy (1990)"},{"key":"CR19","first-page":"146","volume-title":"Proc. Eurocal 83. Lecture Notes in Computer Science vol. 162","author":"D. Lazard","year":"1983","unstructured":"Lazard, D.: Gr\u00f6bner bases, Gaussian elimination and resolution of systems of algebraic equations, Proc. Eurocal 83. Lecture Notes in Computer Science vol. 162, pp. 146?156. Berlin, Heidelberg, New York: Springer 1983"},{"key":"CR20","doi-asserted-by":"crossref","unstructured":"Marihari, M. G., M\u00f6ller, H. M., Mora, T.: Gr\u00f6bner bases of ideals given by dual bases. Proc. ISSAC 91, ACM 55?63 (1991)","DOI":"10.1145\/120694.120702"},{"key":"CR21","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/0021-8693(86)90071-2","volume":"100","author":"H. M. M\u00f6ller","year":"1986","unstructured":"M\u00f6ller, H. M., Mora, T.: New constructive methods in classical ideal theory. J. Algebra100, 138?178 (1986)","journal-title":"J. Algebra"},{"key":"CR22","unstructured":"Ramella, L: Algoritmi di computer algebra relativi agli ideali di punti dello spazio proiettivo, Ph.D. Thesis, Univ. Napoli (1990)"},{"key":"CR23","volume-title":"Proc. AAECC 8. Lecture Notes in Computer Science vol. 508","author":"L. Robbiano","year":"1991","unstructured":"Robbiano, L.: Bounds for degrees and number of elements in Gr\u00f6bner bases. Proc. AAECC 8. Lecture Notes in Computer Science vol. 508. Berlin, Heidelberg, New York: Springer 1991"}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01386834\/fulltext.html","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01386834.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF01386834\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF01386834","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,6]],"date-time":"2020-04-06T16:26:26Z","timestamp":1586190386000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF01386834"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,6]]},"references-count":23,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1993,6]]}},"alternative-id":["BF01386834"],"URL":"https:\/\/doi.org\/10.1007\/bf01386834","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,6]]}}}