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Author ID: lewis.david-w Recent zbMATH articles by "Lewis, David W."
Published as: Lewis, D. W.; Lewis, David W.; Lewis, David
Homepage: http://maths.ucd.ie/staffpages/dwl/
External Links: MGP · ResearchGate
Documents Indexed: 68 Publications since 1977, including 1 Book and 2 Additional arXiv Preprints
1 Contribution as Editor · 1 Further Contribution
Reviewing Activity: 2 Reviews
Biographic References: 1 Publication
Co-Authors: 15 Co-Authors with 17 Joint Publications
267 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 250 times in 175 Documents Cited by Year
Studies in inductive logic and probability. Vol. II. Zbl 0539.03004
49
1980
Elusive knowledge. Zbl 1384.03050
Lewis, David
49
2016
Logic for equivocators. Zbl 1366.03090
Lewis, David
41
1982
Automorphisms and involutions on incidence algebras. Zbl 1247.16038
Brusamarello, Rosali; Lewis, David W.
22
2011
Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011
Lewis, D. W.; Tignol, J.-P.
16
1999
New improved exact sequences of Witt groups. Zbl 0475.10021
Lewis, D. W.
13
1982
A local-global principle for algebras with involution and Hermitian forms. Zbl 1092.16011
Lewis, David W.; Unger, Thomas
12
2003
Quaternion algebras and the algebraic legacy of Hamilton’s quaternions. Zbl 1167.01303
Lewis, David W.
12
2006
Matrix theory. Zbl 0749.15001
Lewis, David W.
12
1991
On the signature of an involution. Zbl 0739.11015
Lewis, David W.; Tignol, Jean-Pierre
11
1993
Forms over real algebras and the multisignature of a manifold. Zbl 0344.16008
Lewis, D. W.
11
1977
The isometry classification of Hermitian forms over division algebras. Zbl 0488.10020
Lewis, D. W.
9
1982
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024
Lewis, D. W.; Tignol, J.-P.
9
1993
Witt rings as integral rings. Zbl 0629.10017
Lewis, D. W.
8
1987
Sums of Hermitian squares. Zbl 0644.10017
Lewis, D. W.
8
1988
Involutions and anti-automorphisms of algebras. Zbl 1110.16037
Lewis, David W.
7
2006
Levels and sublevels of division algebras. Zbl 0659.16014
Lewis, D. W.
7
1987
Quaternionic skew-hermitian forms over a number field. Zbl 0475.10020
Lewis, D. W.
6
1982
A note on Hermitian and quadratic forms. Zbl 0432.10008
Lewis, D. W.
6
1979
Periodicity of Clifford algebras and exact octagons of Witt groups. Zbl 0575.10014
Lewis, D. W.
6
1985
Witt equivalence of central simple algebras with involution. Zbl 0957.16013
Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.
5
2000
Hermitian Morita theory: a matrix approach. Zbl 1194.16035
Lewis, David W.; Unger, Thomas
5
2008
Minimal forms for function fields of conics. Zbl 0824.11024
Hoffmann, D. W.; Lewis, D. W.; Van Geel, J.
5
1995
The Witt semigroup of central simple algebras with involution. Zbl 0957.16014
Lewis, D. W.
4
2000
Frobenius algebras and hermitian forms. Zbl 0392.10023
Lewis, D. W.
4
1979
A note on trace forms and involutions of the first kind. Zbl 0889.11011
Lewis, D. W.
4
1997
A determinantal identity for skewfields. Zbl 0582.15001
Lewis, D. W.
4
1985
Levels of quaternion algebras. Zbl 0709.12002
Lewis, D. W.
4
1989
Trace forms of central simple algebras. Zbl 0790.11027
Lewis, D. W.
4
1994
Quadratic forms isotropic over the function field of a conic. Zbl 0823.11011
Lewis, David W.; van Geel, Jan
3
1994
A weak Hasse principle for central simple algebras with an involution. Zbl 0996.16012
Lewis, David W.; Scheiderer, Claus; Unger, Thomas
3
2001
Rainbow saturation of graphs. Zbl 1485.05060
Girão, António; Lewis, David; Popielarz, Kamil
3
2020
The Hasse principle for similarity of Hermitian forms. Zbl 1147.11315
Lewis, David W.; Unger, Thomas; Van Geel, Jan
2
2005
Sesquilinear Morita equivalence and orthogonal sum of algebras with antiautomorphism. Zbl 1390.16037
Cortella, Anne; Lewis, David W.
2
2013
On covering numbers, Young diagrams, and the local dimension of posets. Zbl 1465.05142
Damásdi, Gábor; Felsner, Stefan; Girão, António; Keszegh, Balázs; Lewis, David; Nagy, Dániel T.; Ueckerdt, Torsten
2
2021
A product of Hermitian forms over a quaternion division algebra. Zbl 0412.10013
Lewis, D. W.
2
1980
Trace forms, Kronecker sums, and the shuffle matrix. Zbl 0869.11036
Lewis, D. W.
2
1996
Annihilating polynomials, étale algebras, trace forms and the Galois number. Zbl 0957.11021
Lewis, David W.; McGarraghy, Seán
2
2000
Annihilating polynomials and positive forms. Zbl 0772.11010
Lewis, D. W.
2
1992
New proof of the structure theorems for Witt rings. Zbl 0665.10014
Lewis, D. W.
2
1989
On the level. Zbl 0677.12009
Lewis, D. W.
2
1987
Some canonical pairings of Witt groups of forms. Zbl 0516.10015
Lewis, D. W.
1
1983
Exact sequences of Witt groups of equivariant forms. Zbl 0516.10016
Lewis, D. W.
1
1983
An exact square of graded modules over a graded Witt ring. Zbl 0535.10017
Lewis, D. W.
1
1983
Involutions and anti-automorphisms of central simple algebras. Zbl 1092.16010
Lewis, David W.
1
2003
‘To the glory of God, honour of Ireland and fame of America’: a biographical sketch of Francis D. Murnaghan. Zbl 1102.01323
Lewis, David W.
1
2003
The order dimension of divisibility. Zbl 1498.06003
Lewis, David; Souza, Victor
1
2021
A note on Clifford algebras and central division algebras with involution. Zbl 0583.16011
Lewis, D. W.
1
1985
Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5–9, 1999. Zbl 0956.00036
1
2000
The Hasse invariant of the trace form of a central simple algebra. Zbl 0909.11015
Lewis, D. W.; Morales, J. F.
1
1994
Congruence of quaternionic skew-Hermitian matrices. Zbl 0910.11016
Lewis, David W.
1
1997
Annihilating polynomials for quadratic forms. Zbl 0991.11015
Lewis, David W.
1
2001
Units in Witt rings. Zbl 0707.11029
Lewis, D. W.
1
1990
The level of a Witt ring. Zbl 0703.11020
Lewis, D. W.
1
1990
Sums of squares in Witt rings. Zbl 0716.11019
Lewis, D. W.
1
1990
Sums of squares in central simple algebras. Zbl 0563.16010
Lewis, D. W.
1
1985
On covering numbers, Young diagrams, and the local dimension of posets. Zbl 1465.05142
Damásdi, Gábor; Felsner, Stefan; Girão, António; Keszegh, Balázs; Lewis, David; Nagy, Dániel T.; Ueckerdt, Torsten
2
2021
The order dimension of divisibility. Zbl 1498.06003
Lewis, David; Souza, Victor
1
2021
Rainbow saturation of graphs. Zbl 1485.05060
Girão, António; Lewis, David; Popielarz, Kamil
3
2020
Elusive knowledge. Zbl 1384.03050
Lewis, David
49
2016
Sesquilinear Morita equivalence and orthogonal sum of algebras with antiautomorphism. Zbl 1390.16037
Cortella, Anne; Lewis, David W.
2
2013
Automorphisms and involutions on incidence algebras. Zbl 1247.16038
Brusamarello, Rosali; Lewis, David W.
22
2011
Hermitian Morita theory: a matrix approach. Zbl 1194.16035
Lewis, David W.; Unger, Thomas
5
2008
Quaternion algebras and the algebraic legacy of Hamilton’s quaternions. Zbl 1167.01303
Lewis, David W.
12
2006
Involutions and anti-automorphisms of algebras. Zbl 1110.16037
Lewis, David W.
7
2006
The Hasse principle for similarity of Hermitian forms. Zbl 1147.11315
Lewis, David W.; Unger, Thomas; Van Geel, Jan
2
2005
A local-global principle for algebras with involution and Hermitian forms. Zbl 1092.16011
Lewis, David W.; Unger, Thomas
12
2003
Involutions and anti-automorphisms of central simple algebras. Zbl 1092.16010
Lewis, David W.
1
2003
‘To the glory of God, honour of Ireland and fame of America’: a biographical sketch of Francis D. Murnaghan. Zbl 1102.01323
Lewis, David W.
1
2003
A weak Hasse principle for central simple algebras with an involution. Zbl 0996.16012
Lewis, David W.; Scheiderer, Claus; Unger, Thomas
3
2001
Annihilating polynomials for quadratic forms. Zbl 0991.11015
Lewis, David W.
1
2001
Witt equivalence of central simple algebras with involution. Zbl 0957.16013
Dejaiffe, I.; Lewis, D. W.; Tignol, J.-P.
5
2000
The Witt semigroup of central simple algebras with involution. Zbl 0957.16014
Lewis, D. W.
4
2000
Annihilating polynomials, étale algebras, trace forms and the Galois number. Zbl 0957.11021
Lewis, David W.; McGarraghy, Seán
2
2000
Quadratic forms and their applications. Proceedings of the conference, University College Dublin, Ireland, July 5–9, 1999. Zbl 0956.00036
1
2000
Classification theorems for central simple algebras with involution (with an appendix by R. Parimala). Zbl 0953.11011
Lewis, D. W.; Tignol, J.-P.
16
1999
A note on trace forms and involutions of the first kind. Zbl 0889.11011
Lewis, D. W.
4
1997
Congruence of quaternionic skew-Hermitian matrices. Zbl 0910.11016
Lewis, David W.
1
1997
Trace forms, Kronecker sums, and the shuffle matrix. Zbl 0869.11036
Lewis, D. W.
2
1996
Minimal forms for function fields of conics. Zbl 0824.11024
Hoffmann, D. W.; Lewis, D. W.; Van Geel, J.
5
1995
Trace forms of central simple algebras. Zbl 0790.11027
Lewis, D. W.
4
1994
Quadratic forms isotropic over the function field of a conic. Zbl 0823.11011
Lewis, David W.; van Geel, Jan
3
1994
The Hasse invariant of the trace form of a central simple algebra. Zbl 0909.11015
Lewis, D. W.; Morales, J. F.
1
1994
On the signature of an involution. Zbl 0739.11015
Lewis, David W.; Tignol, Jean-Pierre
11
1993
Square class groups and Witt rings of central simple algebras. Zbl 0766.11024
Lewis, D. W.; Tignol, J.-P.
9
1993
Annihilating polynomials and positive forms. Zbl 0772.11010
Lewis, D. W.
2
1992
Matrix theory. Zbl 0749.15001
Lewis, David W.
12
1991
Units in Witt rings. Zbl 0707.11029
Lewis, D. W.
1
1990
The level of a Witt ring. Zbl 0703.11020
Lewis, D. W.
1
1990
Sums of squares in Witt rings. Zbl 0716.11019
Lewis, D. W.
1
1990
Levels of quaternion algebras. Zbl 0709.12002
Lewis, D. W.
4
1989
New proof of the structure theorems for Witt rings. Zbl 0665.10014
Lewis, D. W.
2
1989
Sums of Hermitian squares. Zbl 0644.10017
Lewis, D. W.
8
1988
Witt rings as integral rings. Zbl 0629.10017
Lewis, D. W.
8
1987
Levels and sublevels of division algebras. Zbl 0659.16014
Lewis, D. W.
7
1987
On the level. Zbl 0677.12009
Lewis, D. W.
2
1987
Periodicity of Clifford algebras and exact octagons of Witt groups. Zbl 0575.10014
Lewis, D. W.
6
1985
A determinantal identity for skewfields. Zbl 0582.15001
Lewis, D. W.
4
1985
A note on Clifford algebras and central division algebras with involution. Zbl 0583.16011
Lewis, D. W.
1
1985
Sums of squares in central simple algebras. Zbl 0563.16010
Lewis, D. W.
1
1985
Some canonical pairings of Witt groups of forms. Zbl 0516.10015
Lewis, D. W.
1
1983
Exact sequences of Witt groups of equivariant forms. Zbl 0516.10016
Lewis, D. W.
1
1983
An exact square of graded modules over a graded Witt ring. Zbl 0535.10017
Lewis, D. W.
1
1983
Logic for equivocators. Zbl 1366.03090
Lewis, David
41
1982
New improved exact sequences of Witt groups. Zbl 0475.10021
Lewis, D. W.
13
1982
The isometry classification of Hermitian forms over division algebras. Zbl 0488.10020
Lewis, D. W.
9
1982
Quaternionic skew-hermitian forms over a number field. Zbl 0475.10020
Lewis, D. W.
6
1982
Studies in inductive logic and probability. Vol. II. Zbl 0539.03004
49
1980
A product of Hermitian forms over a quaternion division algebra. Zbl 0412.10013
Lewis, D. W.
2
1980
A note on Hermitian and quadratic forms. Zbl 0432.10008
Lewis, D. W.
6
1979
Frobenius algebras and hermitian forms. Zbl 0392.10023
Lewis, D. W.
4
1979
Forms over real algebras and the multisignature of a manifold. Zbl 0344.16008
Lewis, D. W.
11
1977
all top 5

Cited by 180 Authors

17 Lewis, David W.
13 Tignol, Jean-Pierre
11 Mahmoudi, Mohammad Gholamzadeh
10 Unger, Thomas P.
8 Quéguiner-Mathieu, Anne
7 Astier, Vincent
4 First, Uriya A.
4 Flaut, Cristina
4 Fornaroli, Érica Zancanella
4 Khrypchenko, Mykola S.
4 Van Geel, Jan
4 Xiao, Zhankui
3 Grenier-Boley, Nicolas
3 Hazrat, Roozbeh
3 Hoffmann, Detlev W.
3 Nokhodkar, Amir Hossein
3 Wilson, James B.
3 Yang, Yuping
2 Barry, Demba
2 Bayer-Fluckiger, Eva
2 Becher, Karim Johannes
2 Berhuy, Grégory
2 Chen, Lizhen
2 Epkenhans, Martin
2 Gille, Philippe
2 Kul’guskin, Ivan Aleksandrovich
2 Kyrchei, Ivan I.
2 Masquelein, Alexandre
2 Motiee, Mehran
2 Nguyễn Quôc Thăng
2 Parimala, Raman
2 Pezzott, Roger Emanuel Moraes
2 Santulo, Ednei Aparecido jun.
2 Serhir, Ahmed
2 Shapiro, Daniel Byron
2 Vast, Nicole
2 Wadsworth, Adrian R.
2 Wu, Zhengyao
1 Ahmed, W. E.
1 Aşci, Mustafa
1 Aslaksen, Helmer
1 Audrino, Francesco
1 Aydinyuz, Suleyman
1 Baek, Sanghoon
1 Bajo, Ignacio
1 Balachandran, Krishnan
1 Balakrishnan, Rangaswami
1 Balogh, Zsolt Ádám
1 Barge, Jean
1 Bitim, Bahar Demirtürk
1 Bory Reyes, Juan
1 Bourgault, Steven
1 Brooksbank, Peter A.
1 Brusamarello, Rosali
1 Can, Mahir Bilen
1 Cao, Wensheng
1 Chao, Chia-Ching
1 Chapman, Adam
1 Chen, Tungyang
1 Chen, Xiangping
1 Chen, Yu
1 Chuard-Koulmann, Pascale
1 Colliot-Thélène, Jean-Louis
1 Cortella, Anne
1 Couto Silva, Dalton
1 Craven, Thomas C.
1 Cuenca, Cesar
1 Dao Trong Toan
1 Dasgupta, Bhanumati
1 Dasgupta, Soura
1 De Carvalho, Henrique Marins
1 De Clercq, Charles
1 De La Cruz, Ralph John Lamadrid
1 De Wannemacker, Stefan A. G.
1 Dejaiffe, Ingrid
1 Denert, Marleen
1 Deveci, Ömür
1 Ding, Steven X.
1 Dolphin, Andrew
1 dos Santos, Clotilzio Moreira
1 Elomary, Mohamed Abdou
1 Facer, Matthew R.
1 Frings, Christoph
1 Garcés, Jorge José
1 Garrel, Nicolas
1 Gongopadhyay, Krishnendu
1 Grbac, Neven
1 Guo, Zhenwei
1 Haghighi, Amir
1 Hatzaras, Y.
1 Hess, Kathryn P.
1 Hosseini, Seyed Mohammad
1 Huang, Chia-Cheng
1 Huang, Ying Sue
1 Ivanyos, Gábor
1 Izhboldin, Oleg T.
1 Jiang, Tongsong
1 Jurčević Peček, Nevena
1 Kanzaki, Teruo
1 Karpenko, Nikita Aleksandrovich
...and 80 more Authors
all top 5

Cited in 75 Serials

24 Communications in Algebra
20 Journal of Algebra
8 Journal of Pure and Applied Algebra
7 Manuscripta Mathematica
7 Transactions of the American Mathematical Society
6 Mathematische Annalen
6 Linear Algebra and its Applications
5 Advances in Mathematics
4 Linear and Multilinear Algebra
4 Mathematische Zeitschrift
4 Advances in Applied Clifford Algebras
4 Journal of Algebra and its Applications
3 Indagationes Mathematicae. New Series
2 American Mathematical Monthly
2 Israel Journal of Mathematics
2 Algebras and Representation Theory
2 International Journal of Number Theory
2 Chebyshevskiĭ Sbornik
1 Journal of the Franklin Institute
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of Multivariate Analysis
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Semigroup Forum
1 SIAM Journal on Computing
1 Systems & Control Letters
1 Econometric Reviews
1 Numerical Algorithms
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 The Australasian Journal of Combinatorics
1 Russian Mathematics
1 Journal de Théorie des Nombres de Bordeaux
1 Algebra Colloquium
1 Journal of Difference Equations and Applications
1 Documenta Mathematica
1 Acta Mathematica et Informatica Universitatis Ostraviensis
1 ELA. The Electronic Journal of Linear Algebra
1 Mathematical Communications
1 Journal of Group Theory
1 Journal of the European Mathematical Society (JEMS)
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 Advances in Difference Equations
1 Applications and Applied Mathematics
1 International Electronic Journal of Algebra (IEJA)
1 Operators and Matrices
1 Electronic Research Announcements in Mathematical Sciences
1 Advances and Applications in Discrete Mathematics
1 Revista Brasileira de História da Matemática
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Palestine Journal of Mathematics
1 Journal of Mathematics
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Annals of \(K\)-Theory
1 Annals of Representation Theory

Citations by Year