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McDonald, Bernard R.

Co-Author Distance
Author ID: mcdonald.bernard-r Recent zbMATH articles by "McDonald, Bernard R."
Published as: McDonald, B. R.; McDonald, Bernard R.
Documents Indexed: 28 Publications since 1970, including 4 Books
3 Contributions as Editor
Co-Authors: 9 Co-Authors with 10 Joint Publications
65 Co-Co-Authors
all top 5

Co-Authors

20 single-authored
3 Kirkwood, Bessie H.
1 Charnes, Chris
1 Ganske, G.
1 Hershberger, B.
1 Magid, Andy Roy
1 McQueen, L.
1 Morris, Robert A.
1 Pieprzyk, Josef P.
1 Pomfret, J.
1 Smith, Kirby C.
1 Waterhouse, William C.
all top 5

Serials

5 Journal of Algebra
3 Communications in Algebra
3 Transactions of the American Mathematical Society
3 Lecture Notes in Pure and Applied Mathematics
3 Pure and Applied Mathematics, Marcel Dekker
2 Linear and Multilinear Algebra
2 Duke Mathematical Journal
2 Journal of Combinatorial Theory. Series A
1 Rocky Mountain Journal of Mathematics
1 Canadian Journal of Mathematics
1 Memoirs of the American Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Linear Algebra and its Applications
all top 5

Fields

17 Linear and multilinear algebra; matrix theory (15-XX)
11 Commutative algebra (13-XX)
11 Associative rings and algebras (16-XX)
11 Group theory and generalizations (20-XX)
6 Number theory (11-XX)
3 General and overarching topics; collections (00-XX)
3 Algebraic geometry (14-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Geometry (51-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

28 Publications have been cited 864 times in 760 Documents Cited by ▼ Year ▼
Finite rings with identity. Zbl 0294.16012
McDonald, Bernard R.
491
1974
Linear algebra over commutative rings. Zbl 0556.13003
McDonald, Bernard R.
102
1984
Geometric algebra over local rings. Zbl 0346.20027
McDonald, Bernard R.
44
1976
Finite local rings. Zbl 0289.12020
Ganske, G.; McDonald, B. R.
22
1973
\(GL_2\) of rings with many units. Zbl 0436.20031
McDonald, B. R.
22
1980
The orthogonal group over a full ring. Zbl 0377.15009
McDonald, B. R.; Hershberger, B.
17
1978
Simple subrings of matrix rings over finite fields. Zbl 0322.16009
McDonald, B. R.
16
1976
Projective modules over rings with many units. Zbl 0493.13003
McDonald, B. R.; Waterhouse, William C.
15
1981
Automorphisms of the symplectic group over a local ring. Zbl 0286.20061
McQueen, L.; McDonald, B. R.
12
1974
Endomorphism rings of infinitely generated projective modules. Zbl 0354.16011
McDonald, B. R.
12
1977
R-linear endomorphisms of \((R)_ n\) preserving invariants. Zbl 0529.15011
McDonald, Bernard R.
12
1983
Aut(\(GL_ 2(\)R)) for rings with many units. Zbl 0453.20041
McDonald, B. R.
11
1981
The symplectic group over a ring with one in its stable range. Zbl 0466.20023
Kirkwood, B.; McDonald, B. R.
11
1981
Automorphisms of GL\(_n\)(R), R a local ring. Zbl 0254.20033
Pomfret, J.; McDonald, B. R.
10
1972
Projectivities over rings with many units. Zbl 0466.51018
McDonald, B. R.
10
1981
Similarity of matrices over Artinian principal ideal rings. Zbl 0382.15009
McDonald, B. R.
9
1978
Involutory matrices over finite local rings. Zbl 0278.15009
McDonald, B. R.
9
1972
Automorphisms of \(GL_n(R)\). Zbl 0402.20035
McDonald, B. R.
9
1978
Automorphisms of \(GL_n(R)\). Zbl 0339.20012
McDonald, Bernard R.
8
1976
The orthogonal and the special orthogonal groups over a full ring. Zbl 0448.20047
McDonald, B. R.; Kirkwood, B. H.
6
1981
Ring theory and algebra III. Proceedings of the third Oklahoma Conference. Ed. by Bernard R. McDonald. Zbl 0429.00004
5
1980
The Witt ring of a full ring. Zbl 0438.13001
Kirkwood, B.; McDonald, B. R.
4
1980
Enumeration of canonical matrices under row equivalence over a principal ideal domain modulo \(p^ n\). Zbl 0233.15015
McDonald, B. R.
4
1970
Enumeration of classes of row equivalent matrices over a principal ideal domain modulo p\(^n\). Zbl 0255.15014
McDonald, B. R.
2
1970
Ring theory. Proceedings of the Oklahoma conference. Zbl 0269.00006
2
1974
A characterization of the determinant. Zbl 0489.15001
McDonald, B. R.
2
1982
Diagonal equivalence of matrices over a finite local ring. Zbl 0255.15010
McDonald, B. R.
1
1972
Ring theory II. Proceedings of the 2nd Oklahoma conference. Zbl 0338.00004
1
1977
Linear algebra over commutative rings. Zbl 0556.13003
McDonald, Bernard R.
102
1984
R-linear endomorphisms of \((R)_ n\) preserving invariants. Zbl 0529.15011
McDonald, Bernard R.
12
1983
A characterization of the determinant. Zbl 0489.15001
McDonald, B. R.
2
1982
Projective modules over rings with many units. Zbl 0493.13003
McDonald, B. R.; Waterhouse, William C.
15
1981
Aut(\(GL_ 2(\)R)) for rings with many units. Zbl 0453.20041
McDonald, B. R.
11
1981
The symplectic group over a ring with one in its stable range. Zbl 0466.20023
Kirkwood, B.; McDonald, B. R.
11
1981
Projectivities over rings with many units. Zbl 0466.51018
McDonald, B. R.
10
1981
The orthogonal and the special orthogonal groups over a full ring. Zbl 0448.20047
McDonald, B. R.; Kirkwood, B. H.
6
1981
\(GL_2\) of rings with many units. Zbl 0436.20031
McDonald, B. R.
22
1980
Ring theory and algebra III. Proceedings of the third Oklahoma Conference. Ed. by Bernard R. McDonald. Zbl 0429.00004
5
1980
The Witt ring of a full ring. Zbl 0438.13001
Kirkwood, B.; McDonald, B. R.
4
1980
The orthogonal group over a full ring. Zbl 0377.15009
McDonald, B. R.; Hershberger, B.
17
1978
Similarity of matrices over Artinian principal ideal rings. Zbl 0382.15009
McDonald, B. R.
9
1978
Automorphisms of \(GL_n(R)\). Zbl 0402.20035
McDonald, B. R.
9
1978
Endomorphism rings of infinitely generated projective modules. Zbl 0354.16011
McDonald, B. R.
12
1977
Ring theory II. Proceedings of the 2nd Oklahoma conference. Zbl 0338.00004
1
1977
Geometric algebra over local rings. Zbl 0346.20027
McDonald, Bernard R.
44
1976
Simple subrings of matrix rings over finite fields. Zbl 0322.16009
McDonald, B. R.
16
1976
Automorphisms of \(GL_n(R)\). Zbl 0339.20012
McDonald, Bernard R.
8
1976
Finite rings with identity. Zbl 0294.16012
McDonald, Bernard R.
491
1974
Automorphisms of the symplectic group over a local ring. Zbl 0286.20061
McQueen, L.; McDonald, B. R.
12
1974
Ring theory. Proceedings of the Oklahoma conference. Zbl 0269.00006
2
1974
Finite local rings. Zbl 0289.12020
Ganske, G.; McDonald, B. R.
22
1973
Automorphisms of GL\(_n\)(R), R a local ring. Zbl 0254.20033
Pomfret, J.; McDonald, B. R.
10
1972
Involutory matrices over finite local rings. Zbl 0278.15009
McDonald, B. R.
9
1972
Diagonal equivalence of matrices over a finite local ring. Zbl 0255.15010
McDonald, B. R.
1
1972
Enumeration of canonical matrices under row equivalence over a principal ideal domain modulo \(p^ n\). Zbl 0233.15015
McDonald, B. R.
4
1970
Enumeration of classes of row equivalent matrices over a principal ideal domain modulo p\(^n\). Zbl 0255.15014
McDonald, B. R.
2
1970
all cited Publications top 5 cited Publications
all top 5

Cited by 802 Authors

17 Martínez-Moro, Edgar
13 Dinh, Hai Quang
13 Rúa, Ignacio Fernández
11 Hou, Xiang-Dong
11 Kai, Xiaoshan
11 McDonald, Bernard R.
11 Zhu, Shixin
10 Nechaev, Aleksandr Aleksandrovich
10 Tabue, Alexandre Fotue
9 Bhaintwal, Maheshanand
9 Dolžan, David
9 Dougherty, Steven T.
9 Guenda, Kenza
9 Samei, Karim
9 Werner, Nicholas J.
8 Aydin, Nuh
8 Pournaki, Mohammad Reza
7 Bandi, Ramakrishna
7 Bunina, Elena Igor’evna
7 Cao, Yonglin
7 de Andrade, Antonio Aparecido
7 Ishibashi, Hiroyuki
7 Jukl, Marek
7 Korobkov, Sergei S.
7 Liu, Hongwei
7 Meemark, Yotsanan
7 Solé, Patrick
7 Tapia-Recillas, Horacio
7 Tazhetdinov, S.
7 Vaserstein, Leonid N.
6 Batoul, Aicha
6 Dobbs, David Earl
6 Gulliver, Thomas Aaron
6 Landzhev, Ivan Nikolov
6 Liu, Xiusheng
6 Maimani, Hamid Reza
6 Siap, Irfan
6 Sriboonchitta, Songsak
5 Hermida Alonso, José Angel
5 James, Donald G.
5 Kamlovskiĭ, Oleg Vital’evich
5 Klin-Eam, Chakkrid
5 Klingler, Lee C.
5 Kvirikashvili, T. G.
5 Lashkhi, Alexander A.
5 Ling, San
5 Liu, Zihui
5 Maxson, Carlton James
5 Mikhalëv, Aleksandr Vasil’evich
5 Ozen, Mehmet
5 Shah, Tariq
5 Shu, Qianyu
5 Szabo, Steve
5 Wang, Xueping
5 Waterhouse, William C.
4 Bag, Tushar
4 Boudine, Brahim
4 Brawley, Joel Vincent jun.
4 Brewer, James W.
4 Carriegos, Miguel V.
4 Castillo-Guillén, C. A.
4 Claasen, Henk L.
4 Dutt, Sucheta
4 Erfanian, Ahmad
4 Goldbach, R. W.
4 Gomez-Calderon, Javier
4 Guralnick, Robert Michael
4 Hesari, Roghayeh Mohammadi
4 Honold, Thomas
4 Horváth, Gábor
4 Hu, Lei
4 Huang, Liping
4 Markov, Viktor Timofeevich
4 Mouaha, Christophe
4 Park, Youngho
4 Pinto, Raquel
4 Qi, Wenfeng
4 Sălăgean, Ana Maria
4 Saniga, Metod
4 Sehmi, Ranjeet
4 Sharma, Anuradha
4 Singh, Abhay Kumar
4 Sriwongsa, Songpon
4 Swartz, Eric
4 Upadhyay, Ashish Kumar
4 Vasin, Anton R.
4 Wickham, Cameron
4 Xiang, Qing
4 Yamada, Mieko
4 Yassemi, Siamak
4 Yildiz, Bahattin
4 Zhu, Xuanyong
3 Alkhamees, Yousef
3 Ashitha, Tom
3 Asir, Thangaraj
3 AY Saylam, Başak
3 Bajalan, Maryam
3 Beasley, LeRoy B.
3 Blunck, Andrea
3 Bolla, Michael L.
...and 702 more Authors
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Cited in 162 Serials

59 Finite Fields and their Applications
53 Journal of Algebra
46 Linear Algebra and its Applications
44 Communications in Algebra
37 Discrete Mathematics
29 Designs, Codes and Cryptography
28 Journal of Pure and Applied Algebra
16 Journal of Algebra and its Applications
16 Advances in Mathematics of Communications
15 Linear and Multilinear Algebra
15 Algebra and Logic
14 Applicable Algebra in Engineering, Communication and Computing
14 Journal of Mathematical Sciences (New York)
13 Matematicheskie Voprosy Kriptografii
12 Mathematical Notes
11 Bulletin of the Australian Mathematical Society
9 Cryptography and Communications
8 Journal of Combinatorial Theory. Series A
8 Journal of Number Theory
8 Journal of Soviet Mathematics
7 Transactions of the American Mathematical Society
7 European Journal of Combinatorics
7 Discrete Mathematics and Applications
7 Journal of Applied Mathematics and Computing
7 Discrete Mathematics, Algorithms and Applications
6 Proceedings of the American Mathematical Society
6 Computational and Applied Mathematics
6 Turkish Journal of Mathematics
6 Korean Journal of Mathematics
5 Discrete Applied Mathematics
5 Rocky Mountain Journal of Mathematics
5 Monatshefte für Mathematik
5 Bulletin of the Korean Mathematical Society
5 Indagationes Mathematicae. New Series
4 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
4 Archiv der Mathematik
4 Acta Mathematica Sinica. New Series
4 Journal of Algebraic Combinatorics
4 Quantum Information Processing
4 Sibirskie Èlektronnye Matematicheskie Izvestiya
4 Asian-European Journal of Mathematics
3 Chaos, Solitons and Fractals
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Compositio Mathematica
3 Journal of Geometry
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Results in Mathematics
3 Journal of Symbolic Computation
3 Aequationes Mathematicae
3 Journal of Combinatorial Designs
3 Journal of Discrete Mathematical Sciences & Cryptography
3 International Electronic Journal of Algebra (IEJA)
3 Science China. Mathematics
3 Forum of Mathematics, Sigma
2 Computers & Mathematics with Applications
2 Information Processing Letters
2 Journal of the Franklin Institute
2 Journal of Mathematical Physics
2 Mathematics of Computation
2 Advances in Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Applied Mathematics and Computation
2 Geometriae Dedicata
2 Glasgow Mathematical Journal
2 The Journal of Symbolic Logic
2 Mathematische Zeitschrift
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Revista de la Unión Matemática Argentina
2 Semigroup Forum
2 Topology and its Applications
2 Systems & Control Letters
2 Graphs and Combinatorics
2 Science in China. Series A
2 International Journal of Algebra and Computation
2 St. Petersburg Mathematical Journal
2 Filomat
2 Documenta Mathematica
2 ELA. The Electronic Journal of Linear Algebra
2 Algebras and Representation Theory
2 Hacettepe Journal of Mathematics and Statistics
2 São Paulo Journal of Mathematical Sciences
2 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 American Mathematical Monthly
1 International Journal of Theoretical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Problems of Information Transmission
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Acta Arithmetica
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Journal of the Korean Mathematical Society
...and 62 more Serials
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Cited in 39 Fields

256 Information and communication theory, circuits (94-XX)
222 Commutative algebra (13-XX)
192 Number theory (11-XX)
163 Associative rings and algebras (16-XX)
118 Group theory and generalizations (20-XX)
103 Combinatorics (05-XX)
89 Linear and multilinear algebra; matrix theory (15-XX)
41 Geometry (51-XX)
22 Algebraic geometry (14-XX)
20 Quantum theory (81-XX)
16 Computer science (68-XX)
15 Systems theory; control (93-XX)
14 Field theory and polynomials (12-XX)
14 Nonassociative rings and algebras (17-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
10 Category theory; homological algebra (18-XX)
8 Mathematical logic and foundations (03-XX)
8 Numerical analysis (65-XX)
6 \(K\)-theory (19-XX)
6 Functional analysis (46-XX)
5 Manifolds and cell complexes (57-XX)
3 Topological groups, Lie groups (22-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 General topology (54-XX)
3 Algebraic topology (55-XX)
3 Probability theory and stochastic processes (60-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Difference and functional equations (39-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Statistics (62-XX)
2 Biology and other natural sciences (92-XX)
1 General algebraic systems (08-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Partial differential equations (35-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year