Truong, Tuyen Trung Some new theoretical and computational results around the Jacobian conjecture. (English) Zbl 1462.14060 Int. J. Math. 31, No. 7, Article ID 2050050, 27 p. (2020). Reviewer: Yan Dan (Changsha) MSC: 14R15 13P10 14Q20 13B25 PDF BibTeX XML Cite \textit{T. T. Truong}, Int. J. Math. 31, No. 7, Article ID 2050050, 27 p. (2020; Zbl 1462.14060) Full Text: DOI OpenURL
Lombardi, Henri; Perrucci, Daniel; Roy, Marie-Françoise An elementary recursive bound for effective Positivstellensatz and Hilbert’s 17th problem. (English) Zbl 1465.14001 Memoirs of the American Mathematical Society 1277. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-470-44108-1/pbk; 978-1-4704-5662-7/ebook). v, 125 p. (2020). Reviewer: Alexander Kovačec (Coimbra) MSC: 14-02 12D15 14P99 13J30 03F65 PDF BibTeX XML Cite \textit{H. Lombardi} et al., An elementary recursive bound for effective Positivstellensatz and Hilbert's 17th problem. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1465.14001) Full Text: DOI arXiv OpenURL
Herrero, María Isabel; Jeronimo, Gabriela; Sabia, Juan On degree bounds for the sparse Nullstellensatz. (English) Zbl 1430.14111 J. Algebra 534, 531-544 (2019). Reviewer: Markus Schweighofer (Konstanz) MSC: 14Q20 13P99 PDF BibTeX XML Cite \textit{M. I. Herrero} et al., J. Algebra 534, 531--544 (2019; Zbl 1430.14111) Full Text: DOI arXiv OpenURL
Ariznabarreta, Gerardo; Mañas, Manuel Christoffel transformations for multivariate orthogonal polynomials. (English) Zbl 1387.42028 J. Approx. Theory 225, 242-283 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 42C05 14J70 15A23 33C45 37K10 37L60 46L55 PDF BibTeX XML Cite \textit{G. Ariznabarreta} and \textit{M. Mañas}, J. Approx. Theory 225, 242--283 (2018; Zbl 1387.42028) Full Text: DOI arXiv OpenURL
McDonald, Judith J.; Melvin, Timothy C. Spectrally arbitrary zero-nonzero patterns and field extensions. (English) Zbl 1358.15021 Linear Algebra Appl. 519, 146-155 (2017). MSC: 15B35 15A21 PDF BibTeX XML Cite \textit{J. J. McDonald} and \textit{T. C. Melvin}, Linear Algebra Appl. 519, 146--155 (2017; Zbl 1358.15021) Full Text: DOI OpenURL
Acquistapace, Francesca; Broglia, Fabrizio; Fernando, José F. On the Nullstellensätze for Stein spaces and \(C\)-analytic sets. (English) Zbl 1345.32008 Trans. Am. Math. Soc. 368, No. 6, 3899-3929 (2016). Reviewer: Vincent Thilliez (Villeneuve d’Ascq) MSC: 32C05 32C15 32C07 32C25 14P15 26E05 PDF BibTeX XML Cite \textit{F. Acquistapace} et al., Trans. Am. Math. Soc. 368, No. 6, 3899--3929 (2016; Zbl 1345.32008) Full Text: DOI arXiv OpenURL
Margulies, S.; Onn, S.; Pasechnik, D. V. On the complexity of Hilbert refutations for partition. (English) Zbl 1357.68087 J. Symb. Comput. 66, 70-83 (2015). MSC: 68Q25 11U05 68Q15 68W30 PDF BibTeX XML Cite \textit{S. Margulies} et al., J. Symb. Comput. 66, 70--83 (2015; Zbl 1357.68087) Full Text: DOI arXiv OpenURL
Scognamillo, Renata; Zannier, Umberto Introductory notes on valuation rings and function fields in one variable. (English) Zbl 1330.13001 Appunti. Scuola Normale Superiore di Pisa (Nuova Serie) 14. Pisa: Edizioni della Normale (ISBN 978-88-7642-500-4/pbk; 978-88-7642-501-1/ebook). viii, 119 p. (2014). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13-01 13A18 13F30 14H05 PDF BibTeX XML Cite \textit{R. Scognamillo} and \textit{U. Zannier}, Introductory notes on valuation rings and function fields in one variable. Pisa: Edizioni della Normale (2014; Zbl 1330.13001) Full Text: DOI OpenURL
Rinaldi, Davide A constructive notion of codimension. (English) Zbl 1291.13015 J. Algebra 383, 178-196 (2013). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13A99 13C15 13L99 PDF BibTeX XML Cite \textit{D. Rinaldi}, J. Algebra 383, 178--196 (2013; Zbl 1291.13015) Full Text: DOI OpenURL
Shao, Jia-Yu; Shan, Hai-Ying; Zhang, Li On some properties of the determinants of tensors. (English) Zbl 1283.15030 Linear Algebra Appl. 439, No. 10, 3057-3069 (2013). MSC: 15A15 15A69 15A21 PDF BibTeX XML Cite \textit{J.-Y. Shao} et al., Linear Algebra Appl. 439, No. 10, 3057--3069 (2013; Zbl 1283.15030) Full Text: DOI OpenURL
Tong, Qian; Cen, Yanming The criterion and application of finite codimensional ideals finitely generated by homogeneous polynomial germs in the ring of \(E^n\). (Chinese. English summary) Zbl 1212.58023 J. Math., Wuhan Univ. 29, No. 4, 539-542 (2009). MSC: 58K40 PDF BibTeX XML Cite \textit{Q. Tong} and \textit{Y. Cen}, J. Math., Wuhan Univ. 29, No. 4, 539--542 (2009; Zbl 1212.58023) OpenURL
Guzy, Nicolas Henselian residually \(p\)-adically closed fields. (English) Zbl 1108.03042 J. Pure Appl. Algebra 209, No. 2, 461-476 (2007). MSC: 03C60 12J10 12J12 12L12 12H05 PDF BibTeX XML Cite \textit{N. Guzy}, J. Pure Appl. Algebra 209, No. 2, 461--476 (2007; Zbl 1108.03042) Full Text: DOI OpenURL
Petersson, Henrik PDE-preserving properties. (English) Zbl 1097.47058 J. Korean Math. Soc. 42, No. 3, 573-597 (2005). Reviewer: Aleksej Turnšek (Ljubljana) MSC: 47L10 47L15 47A15 08A99 08A40 47F05 47B38 46E15 PDF BibTeX XML Cite \textit{H. Petersson}, J. Korean Math. Soc. 42, No. 3, 573--597 (2005; Zbl 1097.47058) Full Text: DOI OpenURL
Sakamoto, Nobuyuki; Tanaka, Kazuyuki The strong soundness theorem for real closed fields and Hilbert’s Nullstellensatz in second order arithmetic. (English) Zbl 1059.03069 Arch. Math. Logic 43, No. 3, 337-349 (2004). Reviewer: Jeffry L. Hirst (Boone) MSC: 03F35 12D10 PDF BibTeX XML Cite \textit{N. Sakamoto} and \textit{K. Tanaka}, Arch. Math. Logic 43, No. 3, 337--349 (2004; Zbl 1059.03069) Full Text: DOI OpenURL
Derome, Geoffroy Algebraically closed descent. (Descente algébriquement close.) (French) Zbl 1042.12003 J. Algebra 266, No. 2, 418-426 (2003). Reviewer: Roberto Dvornicich (Pisa) MSC: 12F20 14E20 PDF BibTeX XML Cite \textit{G. Derome}, J. Algebra 266, No. 2, 418--426 (2003; Zbl 1042.12003) Full Text: DOI OpenURL
Apel, J.; Stückrad, J.; Tworzewski, P.; Winiarski, T. Properties of entire functions over polynomial rings via Gröbner bases. (English) Zbl 1023.13014 Appl. Algebra Eng. Commun. Comput. 14, No. 1, 1-10 (2003). MSC: 13F20 30D20 13P10 32A15 PDF BibTeX XML Cite \textit{J. Apel} et al., Appl. Algebra Eng. Commun. Comput. 14, No. 1, 1--10 (2003; Zbl 1023.13014) Full Text: DOI Link OpenURL
Fujita, M.; Shiota, M. Rings of analytic functions definable in o-minimal structure. (English) Zbl 1028.03031 J. Pure Appl. Algebra 182, No. 2-3, 165-199 (2003). MSC: 03C64 13J30 32B20 PDF BibTeX XML Cite \textit{M. Fujita} and \textit{M. Shiota}, J. Pure Appl. Algebra 182, No. 2--3, 165--199 (2003; Zbl 1028.03031) Full Text: DOI OpenURL
Fischer, Gerd Plane algebraic curves. Transl. from the German by Leslie Kay. (English) Zbl 0971.14026 Student Mathematical Library. 15. Providence, RI: American Mathematical Society (AMS). xv, 231 p. (2001). Reviewer: Werner Kleinert (Berlin) MSC: 14H50 14-01 14N05 14E15 14H20 PDF BibTeX XML Cite \textit{G. Fischer}, Plane algebraic curves. Transl. from the German by Leslie Kay. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 0971.14026) OpenURL
Kreuzer, Martin; Robbiano, Lorenzo Computational commutative algebra. I. (English) Zbl 0956.13008 Berlin: Springer. x, 321 p. (2000). Reviewer: Peter Schenzel (Halle) MSC: 13Pxx 13-01 13-02 13P10 PDF BibTeX XML Cite \textit{M. Kreuzer} and \textit{L. Robbiano}, Computational commutative algebra. I. Berlin: Springer (2000; Zbl 0956.13008) Backlinks: MO OpenURL
Plotkin, Boris I. Algebraic logic, varieties of algebras and algebraic varieties. (English) Zbl 0961.08001 Kublanovsky, S. (ed.) et al., Semigroups with applications, including semigroup rings. International conference in honour of E. S. Lyapin, St.-Petersburg, Russia, June 19-30, 1995. St.-Petersburg: Severny Ochag, 189-270 (1999). MSC: 08-02 08Bxx 03Gxx 08A70 68P15 PDF BibTeX XML Cite \textit{B. I. Plotkin}, in: Semigroups with applications, including semigroup rings. International conference in honour of E. S. Lyapin, St. -Petersburg, Russia, June 19--30, 1995. St.-Petersburg: Severny Ochag. 189--270 (1999; Zbl 0961.08001) Full Text: arXiv OpenURL
Becker, Tim Formal concepts analysis and algebraic geometry. (English) Zbl 0931.06006 Aachen: Shaker Verlag. 96 p. (1999). Reviewer: P.Schenzel (Halle) MSC: 06B99 14A99 68T30 PDF BibTeX XML Cite \textit{T. Becker}, Formal concepts analysis and algebraic geometry. Aachen: Shaker Verlag (1999; Zbl 0931.06006) OpenURL
Alon, Noga Combinatorial Nullstellensatz. (English) Zbl 0920.05026 Comb. Probab. Comput. 8, No. 1-2, 7-29 (1999). Reviewer: I.Tomescu (Bucureşti) MSC: 05C15 13F20 11B75 13B25 05C50 PDF BibTeX XML Cite \textit{N. Alon}, Comb. Probab. Comput. 8, No. 1--2, 7--29 (1999; Zbl 0920.05026) Full Text: DOI OpenURL
Fel’dman, N. I.; Nesterenko, Yu. V. Parshin, A. N. (ed.); Shafarevich, I. R. (ed.); Gamkrelidze, R. V. (ed.) Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. (English) Zbl 0885.11004 Encyclopaedia of Mathematical Sciences 44. Berlin: Springer (ISBN 3-540-61467-2/hbk). 345 p. (1998). Reviewer: M.Waldschmidt (Paris) MSC: 11-02 11J81 11J82 11J86 11J25 11J85 11J89 11J68 PDF BibTeX XML Cite \textit{N. I. Fel'dman} et al., Number theory IV: Transcendental numbers. Edited by A. N. Parshin, I. R. Shafarevich and R. V. Gamkrelidze. Transl. from the Russian by Neal Koblitz. Berlin: Springer (1998; Zbl 0885.11004) OpenURL
Gonzalez-Vega, Laureano; Lombardi, Henri Smooth parametrizations for several cases of the Positivstellensatz. (English) Zbl 0892.14001 Math. Z. 225, No. 3, 427-451 (1997). Reviewer: Christodor Ionescu (Bucureşti) MSC: 14A05 13P05 12D10 PDF BibTeX XML Cite \textit{L. Gonzalez-Vega} and \textit{H. Lombardi}, Math. Z. 225, No. 3, 427--451 (1997; Zbl 0892.14001) Full Text: DOI OpenURL
Warou, H. An algorithm and bounds for the real effective Nullstellensatz in one variable. (English) Zbl 0863.12001 González-Vega, Laureano (ed.) et al., Algorithms in algebraic geometry and applications. Proceedings of the MEGA-94 conference, Santander, Spain, April 5-9, 1994. Basel: Birkhäuser. Prog. Math. 143, 373-387 (1996). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 12D10 12Y05 14A05 PDF BibTeX XML Cite \textit{H. Warou}, Prog. Math. 143, 373--387 (1996; Zbl 0863.12001) OpenURL
Dai, Zhizhong; Zeng, Guangxing Valuation theory and generalizations of Hilbert’s 17th problem. (English) Zbl 0869.12008 Cao, X. H. (ed.) et al., Rings, groups, and algebras. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 181, 39-50 (1996). Reviewer: G.Pestov (Tomsk) MSC: 12J10 12J15 13A18 12J20 13F30 13J25 PDF BibTeX XML Cite \textit{Z. Dai} and \textit{G. Zeng}, Lect. Notes Pure Appl. Math. 181, 39--50 (1996; Zbl 0869.12008) OpenURL
Beame, Paul; Impagliazzo, Russell; Krajíček, Jan; Pitassi, Toniann; Pudlák, Pavel Lower bounds on Hilbert’s Nullstellensatz and propositional proofs. (English) Zbl 0853.03017 Proc. Lond. Math. Soc., III. Ser. 73, No. 1, 1-26 (1996). MSC: 03F20 68Q25 03B05 03F30 PDF BibTeX XML Cite \textit{P. Beame} et al., Proc. Lond. Math. Soc. (3) 73, No. 1, 1--26 (1996; Zbl 0853.03017) Full Text: DOI OpenURL
Marker, D.; Messmer, M.; Pillay, A. Model theory of fields. (English) Zbl 0911.12005 Lecture Notes in Logic. 5. Berlin: Springer-Verlag. ix, 154 p. (1996). Reviewer: Salma Kuhlmann (Saskatoon) MSC: 12L12 12-02 03-02 03C60 03C10 12H05 03C45 PDF BibTeX XML Cite \textit{D. Marker} et al., Model theory of fields. Berlin: Springer-Verlag (1996; Zbl 0911.12005) OpenURL
Peskine, Christian An algebraic introduction to complex projective geometry. 1: Commutative algebra. (English) Zbl 0843.14001 Cambridge Studies in Advanced Mathematics. 47. Cambridge: Cambridge Univ. Press. x, 230 p. (1996). Reviewer: W.Kleinert (Berlin) MSC: 14A05 14-01 13-02 13-01 PDF BibTeX XML Cite \textit{C. Peskine}, An algebraic introduction to complex projective geometry. 1: Commutative algebra. Cambridge: Cambridge Univ. Press (1996; Zbl 0843.14001) OpenURL
Goblot, Rémi Commutative algebra. Course and solved exercises. (Algèbre commutative. Cours et exercices résolus.) (French) Zbl 0886.13008 Enseignement des Mathématiques. Paris: Masson. viii, 274 p. (1996). Reviewer: W.Kleinert (Berlin) MSC: 13Fxx 11Rxx 13-01 11-01 14-01 PDF BibTeX XML Cite \textit{R. Goblot}, Algèbre commutative. Cours et exercices résolus. Paris: Masson (1996; Zbl 0886.13008) OpenURL
Roy, Marie-Françoise Basic algorithms in real algebraic geometry and their complexity: From Sturm’s theorem to the existential theory of reals. (English) Zbl 0894.14028 Broglia, Fabrizio (ed.), Lectures in real geometry. Elaborated versions of the lectures given at the winter school in real geometry, Madrid, Spain, January 3–7, 1994. Berlin: de Gruyter. De Gruyter Expo. Math. 23, 1-67 (1996). Reviewer: J.M.Gamboa (Madrid) MSC: 14P10 68Q25 12D10 PDF BibTeX XML Cite \textit{M.-F. Roy}, De Gruyter Expo. Math. 23, 1--67 (1996; Zbl 0894.14028) OpenURL
Eisenbud, David Commutative algebra. With a view toward algebraic geometry. (English) Zbl 0819.13001 Graduate Texts in Mathematics. 150. Berlin: Springer-Verlag. xvi, 785 p. (1995). Reviewer: Werner Kleinert (Berlin) MSC: 13-01 14-01 13-03 13Axx 13Cxx 13A50 13C15 PDF BibTeX XML Cite \textit{D. Eisenbud}, Commutative algebra. With a view toward algebraic geometry. Berlin: Springer-Verlag (1995; Zbl 0819.13001) Backlinks: MO OpenURL
Lewis, David W. David Hilbert and the theory of algebraic invariants. (English) Zbl 0829.01013 Ir. Math. Soc. Bull. 33, 42-54 (1994). Reviewer: M.Panteki (Thessaloniki) MSC: 01A60 PDF BibTeX XML Cite \textit{D. W. Lewis}, Ir. Math. Soc. Bull. 33, 42--54 (1994; Zbl 0829.01013) OpenURL
Fischer, Gerd Plane algebraic curves. (Ebene algebraische Kurven.) (German) Zbl 0815.14016 Vieweg Studium: Aufbaukurs Mathematik. 67. Braunschweig: Vieweg. x, 177 S. (1994). Reviewer: W.Kleinert (Berlin) MSC: 14H45 14N05 14E15 14-01 14H20 PDF BibTeX XML Cite \textit{G. Fischer}, Ebene algebraische Kurven. Braunschweig: Vieweg (1994; Zbl 0815.14016) OpenURL
Wang, D. An elimination method based on Seidenberg’s theory and its applications. (English) Zbl 0798.13013 Eyssette, Frédéric et al., Computational algebraic geometry. Papers from a conference, held in Nice, France, April 21-25, 1992. Boston: Birkhäuser. Prog. Math., Boston, Mass. 109, 301-328 (1993). MSC: 13P05 68W30 14Q99 12E05 65H10 13P10 PDF BibTeX XML Cite \textit{D. Wang}, in: Computational algebraic geometry. Papers from a conference, held in Nice, France, April 21--25, 1992. Boston: Birkhäuser. 301--328 (1993; Zbl 0798.13013) OpenURL
Wang, Shiqiang Two-square theorems for infinite matrices on certain fields. (English) Zbl 0820.15005 Chin. Sci. Bull. 38, No. 6, 441-443 (1993). MSC: 15B33 12E12 PDF BibTeX XML Cite \textit{S. Wang}, Chin. Sci. Bull. 38, No. 6, 441--443 (1993; Zbl 0820.15005) Full Text: DOI OpenURL
Brown, William C. Matrices over commutative rings. (English) Zbl 0782.15001 Pure and Applied Mathematics (New York, Marcel Dekker). 169. New York: Marcel Dekker. viii, 281 p. (1993). Reviewer: H.Grassmann (Berlin) MSC: 15-01 15B33 15A54 13C99 15A18 15A21 PDF BibTeX XML Cite \textit{W. C. Brown}, Matrices over commutative rings. New York: Marcel Dekker (1993; Zbl 0782.15001) OpenURL
Putinar, Mihai; Salinas, Norberto Analytic transversality and Nullstellensatz in Bergman space. (English) Zbl 0784.47010 Complex analysis, Proc. Symp., Madison/WI (USA) 1992, Contemp. Math. 137, 367-381 (1992). Reviewer: V.Matache (Timişoara) MSC: 47A15 46E20 46J15 PDF BibTeX XML Cite \textit{M. Putinar} and \textit{N. Salinas}, Contemp. Math. 137, 367--381 (1992; Zbl 0784.47010) OpenURL
Faina, G.; Ughi, E. Note on the number of solutions of an equation. (English) Zbl 0751.12002 PU.M.A., Pure Math. Appl., Ser. A 2, No. 3-4, 181-185 (1991). Reviewer: D.Ştefănescu (Bucureşti) MSC: 12E12 12E20 51A30 14H20 PDF BibTeX XML Cite \textit{G. Faina} and \textit{E. Ughi}, PU.M.A., Pure Math. Appl., Ser. A 2, No. 3--4, 181--185 (1991; Zbl 0751.12002) OpenURL
Gallo, G.; Mishra, B. Wu-Ritt characteristic sets and their complexity. (English) Zbl 0733.68048 Discrete and computational geometry, Proc. DIMACS Spec. Year Workshops 1989-90, DIMACS, Ser. Discret. Math. Theor. Comput. Sci. 6, 111-136 (1991). MSC: 68W30 12Y05 68Q25 13P10 14A10 13A15 PDF BibTeX XML OpenURL
Berenstein, Carlos A.; Yger, Alain Effective Bezout identities in \({\mathbb{Q}}[z_ 1,\dots ,z_ n]\). (English) Zbl 0724.32002 Acta Math. 166, No. 1-2, 69-120 (1991). Reviewer: Vasile Brînzănescu (München) MSC: 32B05 32A25 32A27 32D15 13P99 PDF BibTeX XML Cite \textit{C. A. Berenstein} and \textit{A. Yger}, Acta Math. 166, No. 1--2, 69--120 (1991; Zbl 0724.32002) Full Text: DOI OpenURL
Berenstein, Carlos A.; Struppa, Daniele C. Recent improvements in the complexity of the effective Nullstellensatz. (English) Zbl 0759.13012 Linear Algebra Appl. 157, 203-215 (1991). Reviewer: P.Philippon (Paris) MSC: 13P10 68Q25 14A05 PDF BibTeX XML Cite \textit{C. A. Berenstein} and \textit{D. C. Struppa}, Linear Algebra Appl. 157, 203--215 (1991; Zbl 0759.13012) Full Text: DOI OpenURL
Sharp, R. Y. Steps in commutative algebra. (English) Zbl 0703.13001 London Mathematical Society Student Texts, 19. Cambridge etc.: Cambridge University Press. xi, 321 p. £30.00/hbk; $ 49.50/hbk; £10.95/pbk; $ 17.95/pbk (1990). Reviewer: D.Kirby MSC: 13-01 13-02 12-01 14-01 PDF BibTeX XML Cite \textit{R. Y. Sharp}, Steps in commutative algebra. Cambridge etc.: Cambridge University Press (1990; Zbl 0703.13001) OpenURL
Fitchas, Noaï; Galligo, André Nullstellensatz effectif et conjecture de Serre (théorème de Quillen- Suslin) pour le calcul formel. (An effective Nullstellensatz and the Serre conjecture (Quillen-Suslin theorem) for the computer algebra). (French) Zbl 0729.14001 Math. Nachr. 149, 231-253 (1990). Reviewer: C.-P.Ionescu (Bucureşti) MSC: 14A05 13C10 14Q20 PDF BibTeX XML Cite \textit{N. Fitchas} and \textit{A. Galligo}, Math. Nachr. 149, 231--253 (1990; Zbl 0729.14001) Full Text: DOI OpenURL
Gondard-Cozette, Danielle Chainable fields and real algebraic geometry. (English) Zbl 0705.12008 Real analytic and algebraic geometry, Proc. Conf., Trento/Italy 1988, Lect. Notes Math. 1420, 128-148 (1990). Reviewer: Pilar Bayer (Barcelona) MSC: 12J15 14P05 12D99 PDF BibTeX XML OpenURL
Jensen, Christian U.; Lenzing, Helmut Model theoretic algebra: with particular emphasis on fields, rings, modules. (English) Zbl 0728.03026 Algebra, Logic and Applications, 2. New York etc.: Gordon and Breach Science Publishers. xiii, 443 p. (1989). Reviewer: H.-J.Vogel (Potsdam) MSC: 03C60 03-02 12L12 13L05 16B70 03C20 12E05 12E25 13E05 13F05 PDF BibTeX XML Cite \textit{C. U. Jensen} and \textit{H. Lenzing}, Model theoretic algebra: with particular emphasis on fields, rings, modules. New York etc.: Gordon and Breach Science Publishers (1989; Zbl 0728.03026) OpenURL
Berenstein, Carlos A.; Yger, Alain Residue calculus and division problems. (Calcul de rèsidus et problèmes de division.) (French) Zbl 0664.32004 C. R. Acad. Sci., Paris, Sér. I 308, No. 6, 163-166 (1989). Reviewer: K.Spallek MSC: 32B05 32A27 13F20 PDF BibTeX XML Cite \textit{C. A. Berenstein} and \textit{A. Yger}, C. R. Acad. Sci., Paris, Sér. I 308, No. 6, 163--166 (1989; Zbl 0664.32004) OpenURL
MacCaull, W. A. On the validity of Hilbert’s Nullstellensatz, Artin’s theorem, and related results in Grothendieck toposes. (English) Zbl 0669.18003 J. Symb. Log. 53, No. 4, 1177-1187 (1988). Reviewer: K.I.Rosenthal MSC: 18B25 03G30 03F55 PDF BibTeX XML Cite \textit{W. A. MacCaull}, J. Symb. Log. 53, No. 4, 1177--1187 (1988; Zbl 0669.18003) Full Text: DOI OpenURL
MacCaull, W. A. Hilbert’s Nullstellensatz revisited. (English) Zbl 0666.18004 J. Pure Appl. Algebra 54, No. 2-3, 289-297 (1988). Reviewer: K.I.Rosenthal MSC: 18B25 03G30 03C90 PDF BibTeX XML Cite \textit{W. A. MacCaull}, J. Pure Appl. Algebra 54, No. 2--3, 289--297 (1988; Zbl 0666.18004) Full Text: DOI OpenURL
Berenstein, Carlos A.; Struppa, Daniele C. Small degree solutions for the polynomial Bezout equation. (English) Zbl 0643.13006 Linear Algebra Appl. 98, 41-55 (1988). Reviewer: A.V.Bocharev MSC: 13F20 32A05 12D10 PDF BibTeX XML Cite \textit{C. A. Berenstein} and \textit{D. C. Struppa}, Linear Algebra Appl. 98, 41--55 (1988; Zbl 0643.13006) Full Text: DOI Link OpenURL
Philippon, Patrice Addendum to the text of W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”. (A propos du texte de W. D. Brownawell: “Bounds for the degrees in the Nullstellensatz”.) (French) Zbl 0641.14002 Ann. Math. (2) 127, No. 2, 367-371 (1988). Reviewer: Michel Waldschmidt (Paris) MSC: 14A05 11R09 13F20 11C08 PDF BibTeX XML Cite \textit{P. Philippon}, Ann. Math. (2) 127, No. 2, 367--371 (1988; Zbl 0641.14002) Full Text: DOI OpenURL
Brownawell, W. Dale Large transcendence degree revisited. I: Exponential and non-CM cases. (English) Zbl 0626.10030 Diophantine approximation and transcendence theory, Semin., Bonn/FRG 1985, Lect. Notes Math. 1290, 149-173 (1987). Reviewer: P.Philippon MSC: 11J81 11J85 13C99 PDF BibTeX XML OpenURL
Ruiz, Jesus M. On the real spectrum of a ring of global analytic functions. (English) Zbl 0634.14015 Publ. Inst. Rech. Math. Rennes 1986, No. 4, 84-95 (1986). Reviewer: G.Ishikawa MSC: 14Pxx 58A07 32C05 PDF BibTeX XML Cite \textit{J. M. Ruiz}, Publ. Inst. Rech. Math. Rennes 1986, No. 4, 84--95 (1986; Zbl 0634.14015) OpenURL
Cucker, Felipe; Roy, Marie-Françoise Théorèmes des zéros et Positivstellensatz pour les fonctions de Nash dans le cas non lisse. (Nullstellensätze and Positivstellensatz for Nash functions in the non smooth case). (French) Zbl 0605.14020 C. R. Acad. Sci., Paris, Sér. I 303, 563-566 (1986). Reviewer: M.Raimondo MSC: 14Pxx 32C05 PDF BibTeX XML Cite \textit{F. Cucker} and \textit{M.-F. Roy}, C. R. Acad. Sci., Paris, Sér. I 303, 563--566 (1986; Zbl 0605.14020) OpenURL
Jaworski, P. Extensions of orderings on fields of quotients of rings of real analytic functions. (English) Zbl 0601.14018 Math. Nachr. 125, 329-339 (1986). Reviewer: H.-W.Schülting MSC: 14P15 32C05 32B05 12J15 PDF BibTeX XML Cite \textit{P. Jaworski}, Math. Nachr. 125, 329--339 (1986; Zbl 0601.14018) Full Text: DOI OpenURL
Scharlau, Winfried Quadratic and Hermitian forms. (English) Zbl 0584.10010 Grundlehren der Mathematischen Wissenschaften, 270. Berlin etc.: Springer-Verlag. x, 421 p. DM 138.00 (1985). Reviewer: Albrecht Pfister (Mainz) MSC: 11Exx 11-01 11-02 12-01 12-02 11E04 11E08 11E10 11E12 11E16 11E39 11E57 11E88 12D15 12E15 15A63 15A66 16H05 16W10 18F25 PDF BibTeX XML OpenURL
Ruiz, Jesús M. On Hilbert’s 17th problem and real Nullstellensatz for global analytic functions. (English) Zbl 0579.14021 Math. Z. 190, 447-454 (1985). Reviewer: H.-J.Reiffen MSC: 14Pxx 32C05 PDF BibTeX XML Cite \textit{J. M. Ruiz}, Math. Z. 190, 447--454 (1985; Zbl 0579.14021) Full Text: DOI EuDML OpenURL
Roquette, Peter Some tendencies in contemporary algebra. (English) Zbl 0606.12016 Perspectives in mathematics, Anniv. Oberwolfach 1984, 393-422 (1984). MSC: 12L12 03C60 11D99 11S99 PDF BibTeX XML OpenURL
Giral Silio, José M. Krull dimension and algebraic extensions. (Spanish. English summary) Zbl 0593.13004 Proc. XIIth annu. Meet. Spanish mathematicians, Málaga 1976, 47-51 (1983). Reviewer: M.Golasiński MSC: 13B02 13C15 12F10 13E05 PDF BibTeX XML OpenURL
Masser, D. W.; Wüstholz, G. Fields of large transcendence degree generated by values of elliptic functions. (English) Zbl 0516.10027 Invent. Math. 72, 407-464 (1983). Reviewer: Michel Waldschmidt (Paris) MSC: 11J89 11G35 14G25 PDF BibTeX XML Cite \textit{D. W. Masser} and \textit{G. Wüstholz}, Invent. Math. 72, 407--464 (1983; Zbl 0516.10027) Full Text: DOI EuDML OpenURL
Lipparini, Paolo Sul Nullstellensatz di Hilbert in algebra universale. (Italian) Zbl 0515.08001 Atti degli incontri di logica matematica, Siena/Italia 1982, 91-92 (1983). MSC: 08A30 08A40 PDF BibTeX XML OpenURL
Brown, Kenneth A. The Nullstellensatz for certain group rings. (English) Zbl 0511.16011 J. Lond. Math. Soc., II. Ser. 26, 425-434 (1982). MSC: 16S34 16P40 20F18 20C07 PDF BibTeX XML Cite \textit{K. A. Brown}, J. Lond. Math. Soc., II. Ser. 26, 425--434 (1982; Zbl 0511.16011) Full Text: DOI OpenURL
Dubois, D. W. Second note on Artin’s solution of Hilbert’s 17th problem. Order spaces. (English) Zbl 0476.14011 Pac. J. Math. 97, 357-371 (1981). MSC: 14Pxx 14A05 11P05 12D99 11R58 PDF BibTeX XML Cite \textit{D. W. Dubois}, Pac. J. Math. 97, 357--371 (1981; Zbl 0476.14011) Full Text: DOI OpenURL
Dubois, D. W. Second note on Artin’s solution of Hilbert’s 17th problem. (English) Zbl 0438.14001 Pac. J. Math. (to appear). MSC: 14A05 14Pxx 12D99 11P05 11R58 PDF BibTeX XML OpenURL
Zhong, Jiaqing On prime ideals of the ring of differential operators. (Chinese) Zbl 0488.47022 Chin. Ann. Math. 1, 359-374 (1980). MSC: 47F05 35J05 32K15 13N05 PDF BibTeX XML Cite \textit{J. Zhong}, Chin. Ann. Math. 1, 359--374 (1980; Zbl 0488.47022) OpenURL
Röhrl, Helmut The algebra of polynomial functions with coefficients in a nonassociative algebra. (English) Zbl 0447.17005 Seminarber. Fachbereich Math., Fernuniv. 6, 137-172 (1980). MSC: 17A99 08C05 08A40 17A65 17D99 PDF BibTeX XML OpenURL
Kunz, Ernst Einführung in die kommutative Algebra und algebraische Geometrie. (German) Zbl 0432.13001 Vieweg Studium, Bd. 46, Aufbaukurs Mathematik. Braunschweig/Wiesbaden: Friedr. Vieweg & Sohn. X, 239 S., 18 Fig., 185 Übungsaufg. DM 32.00 (1980). MSC: 13-01 14-01 13C15 13H05 14H20 13E15 13C10 PDF BibTeX XML OpenURL
Bochnak, J.; Efroymson, G. A. Real algebraic geometry and the 17th Hilbert problem. (English) Zbl 0425.14004 Math. Ann. 251, 213-241 (1980). MSC: 14Pxx 14A20 58A07 32C05 PDF BibTeX XML Cite \textit{J. Bochnak} and \textit{G. A. Efroymson}, Math. Ann. 251, 213--241 (1980; Zbl 0425.14004) Full Text: DOI EuDML OpenURL
Robbin, J. W. Evaluation fields for power series II. The Reelnullstellensatz. (English) Zbl 0479.14002 J. Algebra 57, 212-222 (1979). MSC: 14A05 13L05 13F25 14A25 03C60 12D99 13J05 PDF BibTeX XML Cite \textit{J. W. Robbin}, J. Algebra 57, 212--222 (1979; Zbl 0479.14002) Full Text: DOI OpenURL
Zeilberger, Doron A new proof to Ehrenpreis’s semilocal quotient structure theorem. (English) Zbl 0429.32006 Am. J. Math. 100, 1317-1332 (1978). MSC: 32A30 39A10 14A05 30C10 PDF BibTeX XML Cite \textit{D. Zeilberger}, Am. J. Math. 100, 1317--1332 (1978; Zbl 0429.32006) Full Text: DOI OpenURL
Adkins, W. A.; Gianni, P.; Tognoli, A. A Nullstellensatz for an algebraically non-closed field. (English) Zbl 0399.14001 Boll. Unione Mat. Ital., V. Ser., B 15, 338-343 (1978). MSC: 14A05 13F20 PDF BibTeX XML Cite \textit{W. A. Adkins} et al., Boll. Unione Mat. Ital., V. Ser., B 15, 338--343 (1978; Zbl 0399.14001) OpenURL
Slowikowski, W. Commutative Wick algebras I. The Bargman, Wiener and Fock algebras. (English) Zbl 0391.28010 Vector Space Measures Appl. I, Proc. Conf., Dublin 1977, Lect. Notes Math. 644, 396-410 (1978). MSC: 28C20 47L30 46F05 PDF BibTeX XML OpenURL
Seidenberg, A. An elimination theory for differential algebra. (English) Zbl 0083.03302 Univ. California Publ. Math., n. Ser. 3, 31-66 (1957). Reviewer: Frank Levin (Lexington/KY) MSC: 12H05 12H20 PDF BibTeX XML OpenURL