Valuation ring (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Valuation ring" in English language version.

refsWebsite

Global rank English rank

1,923^rd place

1,068^th place

451^st place

277^th place

low place

low place

18^th place

17^th place

2^nd place

2^nd place

5^th place

5^th place

1semanticscholar.org

11^th place

8^th place

1stackexchange.com

1,983^rd place

1,330^th place

1mathoverflow.net

low place

low place

1books.google.com

3^rd place

3^rd place

ams.org

mathscinet.ams.org

Hartshorne 1977, Theorem I.6.1A. Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, New York: Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157
Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401
Zariski & Samuel 1975, Ch. VI, Theorem 3. Zariski, Oscar; Samuel, Pierre (1975), Commutative algebra. Vol. II, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90171-8, MR 0389876
Hartshorne 1977, Ch II. Exercise 4.5. Hartshorne, Robin (1977), Algebraic Geometry, Graduate Texts in Mathematics, vol. 52, New York: Springer-Verlag, ISBN 978-0-387-90244-9, MR 0463157
Zariski & Samuel 1975, Ch. VI, Theorem 15. Zariski, Oscar; Samuel, Pierre (1975), Commutative algebra. Vol. II, Berlin, New York: Springer-Verlag, ISBN 978-0-387-90171-8, MR 0389876

books.google.com

Matsumura 1989, Theorem 10.4. Matsumura, Hideyuki (1989), Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Translated from the Japanese by Miles Reid (Second ed.), ISBN 0-521-36764-6, Zbl 0666.13002

doi.org

Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401

harvard.edu

ui.adsabs.harvard.edu

Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401

lohar.com

Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401

mathoverflow.net

Does there exist a Riemann surface corresponding to every field extension? Any other hypothesis needed?

semanticscholar.org

api.semanticscholar.org

Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401

stackexchange.com

math.stackexchange.com

The role of valuation rings in algebraic geometry

worldcat.org

Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401

zbmath.org

More precisely, Γ is totally ordered by defining $[x]\geq [y]$ if and only if $xy^{-1}\in D$ where [x] and [y] are equivalence classes in Γ. cf. Efrat (2006), p. 39 Efrat, Ido (2006), Valuations, orderings, and Milnor K-theory, Mathematical Surveys and Monographs, vol. 124, Providence, RI: American Mathematical Society, ISBN 0-8218-4041-X, Zbl 1103.12002
Efrat 2006, p. 55. Efrat, Ido (2006), Valuations, orderings, and Milnor K-theory, Mathematical Surveys and Monographs, vol. 124, Providence, RI: American Mathematical Society, ISBN 0-8218-4041-X, Zbl 1103.12002
Cohn 1968, Proposition 1.5. Cohn, P. M. (1968), "Bezout rings and their subrings" (PDF), Proc. Cambridge Philos. Soc., 64 (2): 251–264, Bibcode:1968PCPS...64..251C, doi:10.1017/s0305004100042791, ISSN 0008-1981, MR 0222065, S2CID 123667384, Zbl 0157.08401
Efrat 2006, p. 43. Efrat, Ido (2006), Valuations, orderings, and Milnor K-theory, Mathematical Surveys and Monographs, vol. 124, Providence, RI: American Mathematical Society, ISBN 0-8218-4041-X, Zbl 1103.12002
Efrat 2006, p. 38. Efrat, Ido (2006), Valuations, orderings, and Milnor K-theory, Mathematical Surveys and Monographs, vol. 124, Providence, RI: American Mathematical Society, ISBN 0-8218-4041-X, Zbl 1103.12002
Matsumura 1989, Theorem 10.4. Matsumura, Hideyuki (1989), Commutative ring theory, Cambridge Studies in Advanced Mathematics, vol. 8, Translated from the Japanese by Miles Reid (Second ed.), ISBN 0-521-36764-6, Zbl 0666.13002