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Jacob, Bill

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Author ID: jacob.bill Recent zbMATH articles by "Jacob, Bill"
Published as: Jacob, Bill; Jacob, William B.
External Links: MGP · Wikidata
Documents Indexed: 54 Publications since 1980, including 7 Books

Publications by Year

Citations contained in zbMATH

42 Publications have been cited 369 times in 239 Documents Cited by Year
Division algebras over Henselian fields. Zbl 0692.16011
Jacob, Bill; Wadsworth, Adrian
80
1990
A recursive description of the maximal pro-2 Galois group via Witt rings. Zbl 0663.12018
Jacob, Bill; Ware, Roger
24
1989
Rigid elements, valuations, and realization of Witt rings. Zbl 0629.10016
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
23
1987
A new construction of noncrossed product algebras. Zbl 0597.16016
Jacob, Bill; Wadsworth, Adrian R.
22
1986
Fields of cohomological 2-dimension three. Zbl 0576.12025
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
22
1986
On the structure of Pythagorean fields. Zbl 0457.10007
Jacob, Bill
22
1981
The graded Witt ring and Galois cohomology. I. Zbl 0554.10011
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
16
1984
Degree four cohomological invariants for quadratic forms. Zbl 0685.10015
Jacob, Bill; Rost, Markus
15
1989
On indecomposable vector bundles. Zbl 0769.14004
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
14
1992
Indecomposable division algebras of prime exponent. Zbl 0704.16009
Jacob, Bill
12
1991
Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups. Zbl 0755.11014
Jacob, Bill; Ware, Roger
12
1991
The graded Witt ring and Galois cohomology. II. Zbl 0675.10012
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
9
1989
Brauer group analogues of results relating the Witt ring to valuations and Galois theory. Zbl 0857.12002
Hwang, Yoon Sung; Jacob, Bill
7
1995
Quadratic forms over dyadic valued fields. I: The graded Witt ring. Zbl 0606.10013
Jacob, Bill
7
1987
Fans, real valuations, and hereditarily-Pythagorean fields. Zbl 0485.12016
Jacob, Bill
7
1981
The model theory of generalized real closed fields. Zbl 0446.12021
Jacob, Bill
7
1981
On generators for the Witt ring. Zbl 0803.11023
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
6
1994
Rational points on algebraic varieties over a generalized real closed field: a model theoretic approach. Zbl 0548.14007
Becker, Eberhard; Jacob, Bill
6
1985
The graded Witt group kernel of biquadratic extensions in characteristic two. Zbl 1294.11048
Aravire, Roberto; Jacob, Bill
5
2012
Versions of Springer’s theorem for quadratic forms in characteristic 2. Zbl 0853.11028
Aravire, Roberto; Jacob, Bill
5
1996
On the Witt ring of elliptic curves. Zbl 0823.11017
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
5
1995
Relative Brauer groups in characteristic \(p\). Zbl 1171.16012
Aravire, Roberto; Jacob, Bill
4
2009
Division algebras which only ramify along a hyperelliptic curve in \(\mathbb{P}^2\). Zbl 0997.16012
Jacob, Bill
4
2001
\(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015
Aravire, Roberto; Jacob, Bill
4
1995
A Nullstellensatz for R((t)). Zbl 0503.14013
Jacob, Bill
4
1980
Cohomology and graded Witt group kernels for extensions of degree four in characteristic two. Zbl 1338.11050
Aravire, Roberto; Jacob, Bill
3
2016
Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology. Zbl 0762.11013
Jacob, Bill
3
1992
On quadratic forms and Galois cohomology. Zbl 0703.11021
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
3
1989
\(H^1(X, \nu)\) of conics and Witt kernels in characteristic 2. Zbl 1244.11031
Aravire, Roberto; Jacob, Bill
2
2009
Special forms of two symbols are division algebras. Zbl 1008.16019
Aravire, Roberto; Jacob, Bill
2
2002
Division algebras with no common subfields. Zbl 0784.12001
Jacob, Bill; Wadsworth, Adrian R.
2
1993
Graded Witt rings of elementary type. Zbl 0545.10013
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
2
1985
The de Rham Witt complex, cohomological kernels and \(p^{m}\)-extensions in characteristic \(p\). Zbl 1446.11062
Aravire, Roberto; Jacob, Bill; O’Ryan, Manuel
1
2018
On quotients of the space of orderings of the field \(\mathbb Q(x)\). Zbl 1375.11037
Gładki, Paweł; Jacob, Bill
1
2016
On profinite spaces of orderings. Zbl 1270.11036
Gładki, Paweł; Jacob, Bill
1
2012
Quadratic forms over rational function fields in characteristic 2. Zbl 1123.11013
Aravire, Roberto; Jacob, Bill
1
2006
The Witt ring of an elliptic curve over a local field. Zbl 0922.11037
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
1
1996
Recent advances in real algebraic geometry and quadratic forms. Proceedings of the RAGSQUAD year, Berkeley, CA, USA, 1990-1991. Zbl 0788.00051
Jacob, William B. (ed.); Lam, Tsit-Yuen (ed.); Robson, Robert O. (ed.)
1
1994
On the \(u\)-invariant for quadratic forms and the linkage of cyclic algebras. Zbl 0788.11014
Aravire, Roberto; Jacob, Bill; Mammone, Pasquale
1
1993
Linear algebra. Zbl 0685.15001
Jacob, Bill
1
1990
The index and the symbol index of division algebras. Zbl 0682.16016
Jacob, Bill
1
1989
The Galois cohomology of Pythagorean fields. Zbl 0496.12017
Jacob, Bill
1
1981
The de Rham Witt complex, cohomological kernels and \(p^{m}\)-extensions in characteristic \(p\). Zbl 1446.11062
Aravire, Roberto; Jacob, Bill; O’Ryan, Manuel
1
2018
Cohomology and graded Witt group kernels for extensions of degree four in characteristic two. Zbl 1338.11050
Aravire, Roberto; Jacob, Bill
3
2016
On quotients of the space of orderings of the field \(\mathbb Q(x)\). Zbl 1375.11037
Gładki, Paweł; Jacob, Bill
1
2016
The graded Witt group kernel of biquadratic extensions in characteristic two. Zbl 1294.11048
Aravire, Roberto; Jacob, Bill
5
2012
On profinite spaces of orderings. Zbl 1270.11036
Gładki, Paweł; Jacob, Bill
1
2012
Relative Brauer groups in characteristic \(p\). Zbl 1171.16012
Aravire, Roberto; Jacob, Bill
4
2009
\(H^1(X, \nu)\) of conics and Witt kernels in characteristic 2. Zbl 1244.11031
Aravire, Roberto; Jacob, Bill
2
2009
Quadratic forms over rational function fields in characteristic 2. Zbl 1123.11013
Aravire, Roberto; Jacob, Bill
1
2006
Special forms of two symbols are division algebras. Zbl 1008.16019
Aravire, Roberto; Jacob, Bill
2
2002
Division algebras which only ramify along a hyperelliptic curve in \(\mathbb{P}^2\). Zbl 0997.16012
Jacob, Bill
4
2001
Versions of Springer’s theorem for quadratic forms in characteristic 2. Zbl 0853.11028
Aravire, Roberto; Jacob, Bill
5
1996
The Witt ring of an elliptic curve over a local field. Zbl 0922.11037
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
1
1996
Brauer group analogues of results relating the Witt ring to valuations and Galois theory. Zbl 0857.12002
Hwang, Yoon Sung; Jacob, Bill
7
1995
On the Witt ring of elliptic curves. Zbl 0823.11017
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
5
1995
\(p\)-algebras over maximally complete fields. Appendix: \(\mathbb{F}_p((X))((Y))\) is linked: An alternative proof. By Jean-Pierre Tignol. Zbl 0832.16015
Aravire, Roberto; Jacob, Bill
4
1995
On generators for the Witt ring. Zbl 0803.11023
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
6
1994
Recent advances in real algebraic geometry and quadratic forms. Proceedings of the RAGSQUAD year, Berkeley, CA, USA, 1990-1991. Zbl 0788.00051
Jacob, William B. (ed.); Lam, Tsit-Yuen (ed.); Robson, Robert O. (ed.)
1
1994
Division algebras with no common subfields. Zbl 0784.12001
Jacob, Bill; Wadsworth, Adrian R.
2
1993
On the \(u\)-invariant for quadratic forms and the linkage of cyclic algebras. Zbl 0788.11014
Aravire, Roberto; Jacob, Bill; Mammone, Pasquale
1
1993
On indecomposable vector bundles. Zbl 0769.14004
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
14
1992
Quadratic forms over dyadic valued fields. II: Relative rigidity and Galois cohomology. Zbl 0762.11013
Jacob, Bill
3
1992
Indecomposable division algebras of prime exponent. Zbl 0704.16009
Jacob, Bill
12
1991
Realizing dyadic factors of elementary type Witt rings and pro-2 Galois groups. Zbl 0755.11014
Jacob, Bill; Ware, Roger
12
1991
Division algebras over Henselian fields. Zbl 0692.16011
Jacob, Bill; Wadsworth, Adrian
80
1990
Linear algebra. Zbl 0685.15001
Jacob, Bill
1
1990
A recursive description of the maximal pro-2 Galois group via Witt rings. Zbl 0663.12018
Jacob, Bill; Ware, Roger
24
1989
Degree four cohomological invariants for quadratic forms. Zbl 0685.10015
Jacob, Bill; Rost, Markus
15
1989
The graded Witt ring and Galois cohomology. II. Zbl 0675.10012
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
9
1989
On quadratic forms and Galois cohomology. Zbl 0703.11021
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
3
1989
The index and the symbol index of division algebras. Zbl 0682.16016
Jacob, Bill
1
1989
Rigid elements, valuations, and realization of Witt rings. Zbl 0629.10016
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
23
1987
Quadratic forms over dyadic valued fields. I: The graded Witt ring. Zbl 0606.10013
Jacob, Bill
7
1987
A new construction of noncrossed product algebras. Zbl 0597.16016
Jacob, Bill; Wadsworth, Adrian R.
22
1986
Fields of cohomological 2-dimension three. Zbl 0576.12025
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
22
1986
Rational points on algebraic varieties over a generalized real closed field: a model theoretic approach. Zbl 0548.14007
Becker, Eberhard; Jacob, Bill
6
1985
Graded Witt rings of elementary type. Zbl 0545.10013
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
2
1985
The graded Witt ring and Galois cohomology. I. Zbl 0554.10011
Arason, Jón Kr.; Elman, Richard; Jacob, Bill
16
1984
On the structure of Pythagorean fields. Zbl 0457.10007
Jacob, Bill
22
1981
Fans, real valuations, and hereditarily-Pythagorean fields. Zbl 0485.12016
Jacob, Bill
7
1981
The model theory of generalized real closed fields. Zbl 0446.12021
Jacob, Bill
7
1981
The Galois cohomology of Pythagorean fields. Zbl 0496.12017
Jacob, Bill
1
1981
A Nullstellensatz for R((t)). Zbl 0503.14013
Jacob, Bill
4
1980
all top 5

Cited by 154 Authors

20 Jacob, Bill
20 Wadsworth, Adrian R.
15 Parimala, Raman
14 Efrat, Ido
10 Morandi, Patrick J.
9 Aravire, Roberto
8 Chipchakov, Ivan D.
8 Hazrat, Roozbeh
8 Mináč, Ján
7 Arason, Jón Kristinn
7 Brussel, Eric S.
6 Elman, Richard S.
6 Pumplün, Susanne
6 Sethuraman, B. A.
6 Suresh, Venapally
5 Motiee, Mehran
5 Mounirh, Karim
5 O’Ryan, Manuel
5 Ramdorai, Sujatha
5 Tignol, Jean-Pierre
5 Ware, Roger
4 Becker, Eberhard
4 Berr, Ralph
4 Chacron, Maurice J.
4 Kahn, Bruno
4 Laghribi, Ahmed
4 McKinnie, Kelly
4 Nakashima, Tohru
3 Colliot-Thélène, Jean-Louis
3 Engler, Antonio José
3 Garibaldi, Skip
3 Gładki, Paweł
3 Hanke, Timo
3 Nguyêñ Duy Tân
3 Preeti, Raman
3 Quadrelli, Claudio
3 Rowen, Louis Halle
3 Tengan, Eduardo
3 Tikohonov, Sergeĭ Viktorovich
3 Yanchevskii, Vyacheslav Ivanovich
2 Asok, Aravind
2 Becher, Karim Johannes
2 Boulagouaz, M’hammed
2 Chapman, Adam
2 Craven, Thomas C.
2 Ford, Timothy J.
2 Gondard, Danielle
2 Gräter, Joachim
2 Guzy, Nicolas
2 Hwang, Yoon Sung
2 Karpenko, Nikita Aleksandrovich
2 Koenigsmann, Jochen
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Leep, David B.
2 Lemire, Nicole Marie Anne
2 Mahdavi-Hezavehi, M.
2 Mammone, Pasquale
2 Marshall, Murray Angus
2 Ojanguren, Manuel
2 Saltman, David J.
2 Schwartz, Niels
2 Shapiro, Daniel Byron
2 Smith, Tara L.
2 Sridharan, Ramaiyengar
2 Swallow, John R.
2 Szymiczek, Kazimierz
2 Topaz, Adam
1 Aljadeff, Eli
1 Alvarenga, Roberto
1 Astier, Vincent
1 Auel, Asher Natan
1 Basarab, Serban A.
1 Bhaskhar, Nivedita
1 Biswas, Indranil
1 Bogomolov, Fedor Alekseivich
1 Brungs, Hans-Heinrich
1 Burési, Jérôme
1 Chebolu, Sunil K.
1 Coyette, Cécile
1 Czogała, Alfred
1 Dherte, Hélène
1 Dixon, John D.
1 Dolphin, Andrew
1 dos Santos, Clotilzio Moreira
1 Elomary, Mohamed Abdou
1 Esnault, Hélène
1 Farré, Rafel
1 Fasel, Jean
1 Fehm, Arno
1 Ferreira, Mauricio A.
1 Gondard-Cozette, Danielle
1 Grobe, Rudolf
1 Haase, Bastian
1 Haile, Darrell E.
1 Han, Ilseop
1 Haran, Dan
1 Hoffmann, Detlev W.
1 Hoshi, Akinari
1 Hu, Yong
1 Jacobson, Jeremy Allen
...and 54 more Authors
all top 5

Cited in 45 Serials

54 Journal of Algebra
28 Communications in Algebra
21 Transactions of the American Mathematical Society
14 Israel Journal of Mathematics
13 Journal of Pure and Applied Algebra
13 Manuscripta Mathematica
8 Mathematische Annalen
7 Inventiones Mathematicae
7 Mathematische Zeitschrift
7 Proceedings of the American Mathematical Society
6 Duke Mathematical Journal
5 Archiv der Mathematik
4 Journal of Number Theory
4 \(K\)-Theory
3 Advances in Mathematics
3 Compositio Mathematica
3 Journal of Algebra and its Applications
2 Publications Mathématiques
2 Journal für die Reine und Angewandte Mathematik
2 Mathematica Slovaca
2 Journal of the American Mathematical Society
2 Indagationes Mathematicae. New Series
2 Applicable Algebra in Engineering, Communication and Computing
2 Documenta Mathematica
1 Bulletin of the Australian Mathematical Society
1 Computer Physics Communications
1 Mathematische Semesterberichte
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Fundamenta Mathematicae
1 The Journal of Symbolic Logic
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Forum Mathematicum
1 Designs, Codes and Cryptography
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Transformation Groups
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Research in the Mathematical Sciences
1 European Journal of Mathematics

Citations by Year

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