Hilbert's Nullstellensatz (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Hilbert's Nullstellensatz" in English language version.

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Brownawell, W. Dale (1987), "Bounds for the degrees in the Nullstellensatz", Ann. of Math., 126 (3): 577–591, doi:10.2307/1971361, JSTOR 1971361, MR 0916719
Kollár, János (1988), "Sharp Effective Nullstellensatz" (PDF), Journal of the American Mathematical Society, 1 (4): 963–975, doi:10.2307/1990996, JSTOR 1990996, MR 0944576, archived from the original (PDF) on 2014-03-03, retrieved 2012-10-14
Sombra, Martín (1999), "A Sparse Effective Nullstellensatz", Advances in Applied Mathematics, 22 (2): 271–295, arXiv:alg-geom/9710003, doi:10.1006/aama.1998.0633, MR 1659402, S2CID 119726673
This formulation comes from Milne, Algebraic geometry [1] and differs from Hartshorne 1977, Ch. I, Exercise 2.4 Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, New York: Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157

arxiv.org

Sombra, Martín (1999), "A Sparse Effective Nullstellensatz", Advances in Applied Mathematics, 22 (2): 271–295, arXiv:alg-geom/9710003, doi:10.1006/aama.1998.0633, MR 1659402, S2CID 119726673

doi.org

Cox, David A.; Little, John; O’Shea, Donal (2015). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Cham: Springer International Publishing. doi:10.1007/978-3-319-16721-3. ISBN 978-3-319-16720-6.
Lang, Serge (1952). "Hilbert's Nullstellensatz in Infinite-Dimensional Space". Proc. Am. Math. Soc. 3 (3): 407–410. doi:10.2307/2031893. JSTOR 2031893.
Brownawell, W. Dale (1987), "Bounds for the degrees in the Nullstellensatz", Ann. of Math., 126 (3): 577–591, doi:10.2307/1971361, JSTOR 1971361, MR 0916719
Kollár, János (1988), "Sharp Effective Nullstellensatz" (PDF), Journal of the American Mathematical Society, 1 (4): 963–975, doi:10.2307/1990996, JSTOR 1990996, MR 0944576, archived from the original (PDF) on 2014-03-03, retrieved 2012-10-14
Sombra, Martín (1999), "A Sparse Effective Nullstellensatz", Advances in Applied Mathematics, 22 (2): 271–295, arXiv:alg-geom/9710003, doi:10.1006/aama.1998.0633, MR 1659402, S2CID 119726673

jmilne.org

This formulation comes from Milne, Algebraic geometry [1] and differs from Hartshorne 1977, Ch. I, Exercise 2.4 Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, New York: Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157

jstor.org

Lang, Serge (1952). "Hilbert's Nullstellensatz in Infinite-Dimensional Space". Proc. Am. Math. Soc. 3 (3): 407–410. doi:10.2307/2031893. JSTOR 2031893.
Brownawell, W. Dale (1987), "Bounds for the degrees in the Nullstellensatz", Ann. of Math., 126 (3): 577–591, doi:10.2307/1971361, JSTOR 1971361, MR 0916719
Kollár, János (1988), "Sharp Effective Nullstellensatz" (PDF), Journal of the American Mathematical Society, 1 (4): 963–975, doi:10.2307/1990996, JSTOR 1990996, MR 0944576, archived from the original (PDF) on 2014-03-03, retrieved 2012-10-14

semanticscholar.org

api.semanticscholar.org

Sombra, Martín (1999), "A Sparse Effective Nullstellensatz", Advances in Applied Mathematics, 22 (2): 271–295, arXiv:alg-geom/9710003, doi:10.1006/aama.1998.0633, MR 1659402, S2CID 119726673

springer.com

link.springer.com

Cox, David A.; Little, John; O’Shea, Donal (2015). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra. Undergraduate Texts in Mathematics. Cham: Springer International Publishing. doi:10.1007/978-3-319-16721-3. ISBN 978-3-319-16720-6.

ucdavis.edu

math.ucdavis.edu

Kollár, János (1988), "Sharp Effective Nullstellensatz" (PDF), Journal of the American Mathematical Society, 1 (4): 963–975, doi:10.2307/1990996, JSTOR 1990996, MR 0944576, archived from the original (PDF) on 2014-03-03, retrieved 2012-10-14

uchicago.edu

math.uchicago.edu

Emerton, Matthew. "Jacobson rings" (PDF). Archived (PDF) from the original on 2022-07-25.

web.archive.org

Emerton, Matthew. "Jacobson rings" (PDF). Archived (PDF) from the original on 2022-07-25.
Kollár, János (1988), "Sharp Effective Nullstellensatz" (PDF), Journal of the American Mathematical Society, 1 (4): 963–975, doi:10.2307/1990996, JSTOR 1990996, MR 0944576, archived from the original (PDF) on 2014-03-03, retrieved 2012-10-14