Hauenstein, Jonathan D.; Helmer, Martin Probabilistic saturations and Alt’s problem. (English) Zbl 1502.14146 Exp. Math. 31, No. 3, 975-987 (2022). Reviewer: Aleksandra Sobieska (Madison) MSC: 14Q65 13P10 PDF BibTeX XML Cite \textit{J. D. Hauenstein} and \textit{M. Helmer}, Exp. Math. 31, No. 3, 975--987 (2022; Zbl 1502.14146) Full Text: DOI arXiv
Noro, Masayuki; Yokoyama, Kazuhiro Usage of modular techniques for efficient computation of ideal operations. (English) Zbl 1402.13026 Math. Comput. Sci. 12, No. 1, 1-32 (2018). Reviewer: Amir Hashemi (Isfahan) MSC: 13P10 PDF BibTeX XML Cite \textit{M. Noro} and \textit{K. Yokoyama}, Math. Comput. Sci. 12, No. 1, 1--32 (2018; Zbl 1402.13026) Full Text: DOI
Hashemi, Amir; Schweinfurter, Michael; Seiler, Werner M. Deterministic genericity for polynomial ideals. (English) Zbl 1446.13021 J. Symb. Comput. 86, 20-50 (2018). Reviewer: Juan Rafael Sendra (Alcalá de Henares) MSC: 13P10 68W30 13-04 PDF BibTeX XML Cite \textit{A. Hashemi} et al., J. Symb. Comput. 86, 20--50 (2018; Zbl 1446.13021) Full Text: DOI arXiv
Dehghani Darmian, Mahdi; Hashemi, Amir Parametric FGLM algorithm. (English) Zbl 1359.13030 J. Symb. Comput. 82, 38-56 (2017). Reviewer: Ihsen Yengui (Sfax) MSC: 13P10 68W30 14Q99 PDF BibTeX XML Cite \textit{M. Dehghani Darmian} and \textit{A. Hashemi}, J. Symb. Comput. 82, 38--56 (2017; Zbl 1359.13030) Full Text: DOI
Binaei, Bentolhoda; Hashemi, Amir; Seiler, Werner M. Improved computation of involutive bases. (English) Zbl 1453.13074 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 58-72 (2016). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{B. Binaei} et al., Lect. Notes Comput. Sci. 9890, 58--72 (2016; Zbl 1453.13074) Full Text: DOI arXiv
Faugère, Jean-Charles; Safey El Din, Mohab; Verron, Thibaut On the complexity of computing Gröbner bases for weighted homogeneous systems. (English) Zbl 1430.13044 J. Symb. Comput. 76, 107-141 (2016). MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{J.-C. Faugère} et al., J. Symb. Comput. 76, 107--141 (2016; Zbl 1430.13044) Full Text: DOI arXiv
Ducos, Lionel; Valibouze, Annick; Yengui, Ihsen Computing syzygies over \(V [X_1, \ldots, X_k]\), \(V\) a valuation domain. (English) Zbl 1308.13020 J. Algebra 425, 133-145 (2015). Reviewer: Michael R. DiPasquale (Urbana) MSC: 13D02 13F30 13P10 PDF BibTeX XML Cite \textit{L. Ducos} et al., J. Algebra 425, 133--145 (2015; Zbl 1308.13020) Full Text: DOI
Caboara, Massimo; Caruso, Fabrizio; Traverso, Carlo Lattice polly cracker cryptosystems. (English) Zbl 1213.94088 J. Symb. Comput. 46, No. 5, 534-549 (2011). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 13P10 11H06 PDF BibTeX XML Cite \textit{M. Caboara} et al., J. Symb. Comput. 46, No. 5, 534--549 (2011; Zbl 1213.94088) Full Text: DOI
Bigatti, A. M.; Caboara, M.; Robbiano, L. Computing inhomogeneous Gröbner bases. (English) Zbl 1252.13018 J. Symb. Comput. 46, No. 5, 498-510 (2011). MSC: 13P10 13-04 PDF BibTeX XML Cite \textit{A. M. Bigatti} et al., J. Symb. Comput. 46, No. 5, 498--510 (2011; Zbl 1252.13018) Full Text: DOI arXiv
Sadiq, Afshan Standard bases over rings. (English) Zbl 1206.13032 Int. J. Algebra Comput. 20, No. 7, 953-968 (2010). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 13P10 13J10 PDF BibTeX XML Cite \textit{A. Sadiq}, Int. J. Algebra Comput. 20, No. 7, 953--968 (2010; Zbl 1206.13032) Full Text: DOI arXiv
Seiler, Werner M. A combinatorial approach to involution and \(\delta \)-regularity. II: Structure analysis of polynomial modules with Pommaret bases. (English) Zbl 1175.13011 Appl. Algebra Eng. Commun. Comput. 20, No. 3-4, 261-338 (2009). MSC: 13P10 PDF BibTeX XML Cite \textit{W. M. Seiler}, Appl. Algebra Eng. Commun. Comput. 20, No. 3--4, 261--338 (2009; Zbl 1175.13011) Full Text: DOI arXiv
Suzuki, Akira Computing Gröbner bases within linear algebra. (English) Zbl 1260.68485 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 11th international workshop, CASC 2009, Kobe, Japan, September 13–17, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-04102-0/pbk). Lecture Notes in Computer Science 5743, 310-321 (2009). MSC: 68W30 13P10 PDF BibTeX XML Cite \textit{A. Suzuki}, Lect. Notes Comput. Sci. 5743, 310--321 (2009; Zbl 1260.68485) Full Text: DOI
Shirayanagi, Kiyoshi; Sekigawa, Hiroshi A new Gröbner basis conversion method based on stabilization techniques. (English) Zbl 1181.68329 Theor. Comput. Sci. 409, No. 2, 311-317 (2008). MSC: 68W30 13P10 PDF BibTeX XML Cite \textit{K. Shirayanagi} and \textit{H. Sekigawa}, Theor. Comput. Sci. 409, No. 2, 311--317 (2008; Zbl 1181.68329) Full Text: DOI
Tran, Quoc-Nam A new class of term orders for elimination. (English) Zbl 1127.13025 J. Symb. Comput. 42, No. 5, 533-548 (2007). Reviewer: Alyson Reeves (Bowie) MSC: 13P10 68W30 65D18 PDF BibTeX XML Cite \textit{Q.-N. Tran}, J. Symb. Comput. 42, No. 5, 533--548 (2007; Zbl 1127.13025) Full Text: DOI
Fukuda, Komei; Jensen, Anders N.; Thomas, Rekha R. Computing Gröbner fans. (English) Zbl 1119.13026 Math. Comput. 76, No. 260, 2189-2212 (2007). MSC: 13P10 52B20 14Q99 PDF BibTeX XML Cite \textit{K. Fukuda} et al., Math. Comput. 76, No. 260, 2189--2212 (2007; Zbl 1119.13026) Full Text: DOI arXiv
Tran, Quoc-Nam Efficient Groebner walk conversion for implicitization of geometric objects. (English) Zbl 1069.65569 Comput. Aided Geom. Des. 21, No. 9, 837-857 (2004). MSC: 65D18 68U07 68W30 PDF BibTeX XML Cite \textit{Q.-N. Tran}, Comput. Aided Geom. Des. 21, No. 9, 837--857 (2004; Zbl 1069.65569) Full Text: DOI
Matsumoto, Ryutaroh Computing the radical of an ideal in positive characteristic. (English) Zbl 1028.13010 J. Symb. Comput. 32, No. 3, 263-271 (2001). MSC: 13P10 13A10 13F20 13A35 PDF BibTeX XML Cite \textit{R. Matsumoto}, J. Symb. Comput. 32, No. 3, 263--271 (2001; Zbl 1028.13010) Full Text: DOI
Orecchia, F. Implicitization of a general union of parametric varieties. (English) Zbl 0969.14041 J. Symb. Comput. 31, No. 3, 343-356 (2001). MSC: 14Q15 68W40 68W30 14-04 PDF BibTeX XML Cite \textit{F. Orecchia}, J. Symb. Comput. 31, No. 3, 343--356 (2001; Zbl 0969.14041) Full Text: DOI
Tran, Quoc-Nam A fast algorithm for Gröbner basis conversion and its applications. (English) Zbl 0988.13016 J. Symb. Comput. 30, No. 4, 451-467 (2000). Reviewer: J.Sabia (Buenos Aires) MSC: 13P10 68W30 PDF BibTeX XML Cite \textit{Q.-N. Tran}, J. Symb. Comput. 30, No. 4, 451--467 (2000; Zbl 0988.13016) Full Text: DOI Link
Albano, G.; Cioffi, F.; Orecchia, F.; Ramella, I. Minimally generating ideals of rational parametric curves in polynomial time. (English) Zbl 0980.14033 J. Symb. Comput. 30, No. 2, 137-149 (2000). Reviewer: Juan Sabia (Buenos Aires) MSC: 14Q05 14Q20 68W40 14-04 PDF BibTeX XML Cite \textit{G. Albano} et al., J. Symb. Comput. 30, No. 2, 137--149 (2000; Zbl 0980.14033) Full Text: DOI
Aubry, Philippe; Moreno Maza, Marc Triangular sets for solving polynomial systems: a comparative implementation of four methods. (English) Zbl 0943.12004 J. Symb. Comput. 28, No. 1-2, 125-154 (1999). Reviewer: Juan Sabia (Buenos Aires) MSC: 12Y05 13P15 68W30 PDF BibTeX XML Cite \textit{P. Aubry} and \textit{M. Moreno Maza}, J. Symb. Comput. 28, No. 1--2, 125--154 (1999; Zbl 0943.12004)