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Dilworth, Robert Palmer

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Author ID: dilworth.robert-palmer Recent zbMATH articles by "Dilworth, Robert Palmer"
Published as: Dilworth, R. P.; Dilworth, Robert P.
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Documents Indexed: 46 Publications since 1938, including 2 Books
1 Contribution as Editor
Biographic References: 1 Publication
Co-Authors: 7 Co-Authors with 16 Joint Publications
163 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,529 times in 1,305 Documents Cited by Year
A decomposition theorem for partially ordered sets. Zbl 0038.02003
Dilworth, R. P.
406
1950
Algebraic theory of lattices. Zbl 0494.06001
Crawley, Peter; Dilworth, Robert P.
318
1973
Residuated lattices. JFM 65.0084.01
Ward, M.; Dilworth, R. P.
141
1939
Residuated lattices. Zbl 0021.10801
Ward, Morgan; Dilworth, R. P.
116
1939
Abstract commutative ideal theory. Zbl 0111.04104
Dilworth, R. P.
71
1962
Lattices with unique irreducible decompositions. Zbl 0025.10202
Dilworth, R. P.
46
1940
The normal completion of the lattice of continuous functions. Zbl 0037.20205
Dilworth, R. P.
35
1950
Non-commutative residuated lattices. Zbl 0022.10402
Dilworth, R. P.
34
1939
Decomposition theory for lattices without chain conditions. Zbl 0091.03004
Dilworth, R. P.; Crawley, Peter
30
1960
The imbedding problem for modular lattices. Zbl 0060.06102
Hall, M.; Dilworth, R. P.
30
1944
The structure of relatively complemented lattices. Zbl 0036.01802
Dilworth, R. P.
29
1950
Lattices with unique complements. Zbl 0060.06103
Dilworth, R. P.
26
1945
Abstract residuation over lattices. Zbl 0018.34104
Dilworth, R. P.
25
1938
Some combinatorial problems on partially ordered sets. Zbl 0096.00601
Dilworth, R. P.
21
1960
Lattices with unique irreducible decompositions. JFM 66.0101.05
Dilworth, R. P.
21
1940
Proof of a conjecture on finite modular lattices. Zbl 0056.26203
Dilworth, R. P.
20
1954
Non-commutative residuated lattices. JFM 65.0084.02
Dilworth, R. P.
17
1939
The arithmetical theory of Birkhoff lattices. Zbl 0025.10203
Dilworth, R. P.
16
1941
Residuated lattices. Zbl 0018.29003
Ward, Morgan; Dilworth, R. P.
14
1938
Distributivity in lattices. Zbl 0047.26103
Dilworth, R. P.; McLaughlin, J. E.
13
1952
A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022
Dilworth, R. P.; Greene, Curtis
12
1971
The lattice theory of ova. Zbl 0021.21201
Ward, Morgan; Dilworth, R. P.
9
1939
Dependence relations in a semi-modular lattice. Zbl 0060.06101
Dilworth, R. P.
9
1944
Residuated lattices. JFM 64.0072.03
Ward, M.; Dilworth, R. P.
8
1938
On complemented lattices. Zbl 0023.10202
Dilworth, R. P.
8
1940
Ideals in Birkhoff lattices. Zbl 0025.01203
Dilworth, R. P.
8
1941
A generalized Cantor theorem. Zbl 0109.24203
Gleason, Andrew M.; Dilworth, Robert P.
7
1962
The Dilworth theorems. Selected papers of Robert P. Dilworth. Edited by Kenneth P. Bogart, Ralph Freese and Joseph P. S. Kung. Zbl 0907.06001
Dilworth, Robert P.
5
1990
Structure and decomposition theory of lattices. Zbl 0101.27004
Dilworth, R. P.
5
1961
Aspects of distributivity. Zbl 0541.06005
Dilworth, R. P.
4
1984
Note on complemented modular lattices. Zbl 0022.30202
Dilworth, R. P.
4
1940
Note on the strong law of large numbers. Zbl 0032.41604
Dilworth, R. P.
4
1949
Note on the Kurosch-Ore theorem. Zbl 0060.06107
Dilworth, R. P.
4
1946
Generators of lattice varieties. Zbl 0381.06008
Dilworth, R. P.; Freese, Ralph
3
1976
Evaluations over residuated structures. Zbl 0020.34304
Ward, Morgan; Dilworth, R. P.
3
1939
The arithmetical theory of Birkhoff lattices. JFM 67.0087.01
Dilworth, R. P.
2
1941
Note on a paper by C. E. Rickart. Zbl 0035.30102
Dilworth, R. P.; Ward, Morgan
2
1949
The lattice theory of ova. JFM 65.0085.01
Ward, M.; Dilworth, R. P.
1
1939
Abstract residuation over lattices. JFM 64.0073.01
Dilworth, R. P.
1
1938
Non-commutative arithmetic. Zbl 0021.10704
Dilworth, R. P.
1
1939
The Dilworth theorems. Selected papers of Robert P. Dilworth. Edited by Kenneth P. Bogart, Ralph Freese and Joseph P. S. Kung. Zbl 0907.06001
Dilworth, Robert P.
5
1990
Aspects of distributivity. Zbl 0541.06005
Dilworth, R. P.
4
1984
Generators of lattice varieties. Zbl 0381.06008
Dilworth, R. P.; Freese, Ralph
3
1976
Algebraic theory of lattices. Zbl 0494.06001
Crawley, Peter; Dilworth, Robert P.
318
1973
A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022
Dilworth, R. P.; Greene, Curtis
12
1971
Abstract commutative ideal theory. Zbl 0111.04104
Dilworth, R. P.
71
1962
A generalized Cantor theorem. Zbl 0109.24203
Gleason, Andrew M.; Dilworth, Robert P.
7
1962
Structure and decomposition theory of lattices. Zbl 0101.27004
Dilworth, R. P.
5
1961
Decomposition theory for lattices without chain conditions. Zbl 0091.03004
Dilworth, R. P.; Crawley, Peter
30
1960
Some combinatorial problems on partially ordered sets. Zbl 0096.00601
Dilworth, R. P.
21
1960
Proof of a conjecture on finite modular lattices. Zbl 0056.26203
Dilworth, R. P.
20
1954
Distributivity in lattices. Zbl 0047.26103
Dilworth, R. P.; McLaughlin, J. E.
13
1952
A decomposition theorem for partially ordered sets. Zbl 0038.02003
Dilworth, R. P.
406
1950
The normal completion of the lattice of continuous functions. Zbl 0037.20205
Dilworth, R. P.
35
1950
The structure of relatively complemented lattices. Zbl 0036.01802
Dilworth, R. P.
29
1950
Note on the strong law of large numbers. Zbl 0032.41604
Dilworth, R. P.
4
1949
Note on a paper by C. E. Rickart. Zbl 0035.30102
Dilworth, R. P.; Ward, Morgan
2
1949
Note on the Kurosch-Ore theorem. Zbl 0060.06107
Dilworth, R. P.
4
1946
Lattices with unique complements. Zbl 0060.06103
Dilworth, R. P.
26
1945
The imbedding problem for modular lattices. Zbl 0060.06102
Hall, M.; Dilworth, R. P.
30
1944
Dependence relations in a semi-modular lattice. Zbl 0060.06101
Dilworth, R. P.
9
1944
The arithmetical theory of Birkhoff lattices. Zbl 0025.10203
Dilworth, R. P.
16
1941
Ideals in Birkhoff lattices. Zbl 0025.01203
Dilworth, R. P.
8
1941
The arithmetical theory of Birkhoff lattices. JFM 67.0087.01
Dilworth, R. P.
2
1941
Lattices with unique irreducible decompositions. Zbl 0025.10202
Dilworth, R. P.
46
1940
Lattices with unique irreducible decompositions. JFM 66.0101.05
Dilworth, R. P.
21
1940
On complemented lattices. Zbl 0023.10202
Dilworth, R. P.
8
1940
Note on complemented modular lattices. Zbl 0022.30202
Dilworth, R. P.
4
1940
Residuated lattices. JFM 65.0084.01
Ward, M.; Dilworth, R. P.
141
1939
Residuated lattices. Zbl 0021.10801
Ward, Morgan; Dilworth, R. P.
116
1939
Non-commutative residuated lattices. Zbl 0022.10402
Dilworth, R. P.
34
1939
Non-commutative residuated lattices. JFM 65.0084.02
Dilworth, R. P.
17
1939
The lattice theory of ova. Zbl 0021.21201
Ward, Morgan; Dilworth, R. P.
9
1939
Evaluations over residuated structures. Zbl 0020.34304
Ward, Morgan; Dilworth, R. P.
3
1939
The lattice theory of ova. JFM 65.0085.01
Ward, M.; Dilworth, R. P.
1
1939
Non-commutative arithmetic. Zbl 0021.10704
Dilworth, R. P.
1
1939
Abstract residuation over lattices. Zbl 0018.34104
Dilworth, R. P.
25
1938
Residuated lattices. Zbl 0018.29003
Ward, Morgan; Dilworth, R. P.
14
1938
Residuated lattices. JFM 64.0072.03
Ward, M.; Dilworth, R. P.
8
1938
Abstract residuation over lattices. JFM 64.0073.01
Dilworth, R. P.
1
1938
all top 5

Cited by 1,348 Authors

27 Herrmann, Christian
24 Czédli, Gábor
18 Bělohlávek, Radim
18 Trotter, William T. jun.
17 Freese, Ralph S.
16 Wang, Xueping
15 Albu, Toma
15 Rival, Ivan
13 Anderson, Daniel D.
13 Erné, Marcel
13 Johnson, Eugene W.
11 Jayaram, Chillumuntala
11 Konecny, Jan
11 Schmidt, Elegius Tamas
10 Chajda, Ivan
10 Faigle, Ulrich
10 Johnson, Johnny A.
10 West, Douglas Brent
9 Nation, James B.
9 van der Walt, Jan Harm
9 Walendziak, Andrzej
9 Zhao, Bin
8 Adaricheva, Kira Vladislavovna
8 Dilworth, Robert Palmer
8 Grätzer, George
8 Harding, John
7 Bezhanishvili, Guram
7 He, Pengfei
7 Olberding, Bruce M.
7 Pouzet, Maurice
7 Radeleczki, Sándor
7 Schwidefsky, Marina V.
7 Suk, Andrew
7 Van den Brink, René
7 Vychodil, Vilém
6 Bogart, Kenneth P.
6 Borumand Saeid, Arsham
6 Hu, Baoqing
6 Iosif, Mihai
6 Janowitz, Melvin F.
6 Johnston, Katherine G.
6 Klein-Barmen, Fritz
6 Li, Qingguo
6 Montagna, Franco
6 Pióro, Konrad Piotr
6 Qiu, Daowen
6 Tepavčević, Andreja
6 Tsinakis, Constantine
6 Xin, Xiaolong
5 Avann, S. P.
5 Baker, Kirby A.
5 Bakhshi, Mahmood
5 Bilbao, Jesús Mario
5 Blok, Willem Johannes
5 Cameron, Kathie
5 Day, Alan
5 Duffus, Dwight
5 Fox, Jacob
5 Gorbunov, Viktor Aleksandrovich
5 Halaš, Radomír
5 Jiménez-Losada, Andrés
5 Joshi, Vinayak V.
5 Knauer, Kolja B.
5 Morandi, Patrick J.
5 Pach, János
5 Piciu, Dana
5 Qu, Xiaobing
5 Šešelja, Branimir
5 Stern, Manfred
5 Tomon, István
5 Xu, Xiaoquan
5 Zhang, Wenfeng
4 Botur, Michal
4 Cameron, Peter Jephson
4 Cornelis, Chris
4 da Silva, Cândida Nunes
4 Deschrijver, Glad
4 Doignon, Jean-Paul
4 Gehrke, Mai
4 Greene, Curtis
4 Han, Shengwei
4 Hartman, Irith Ben-Arroyo
4 Jónsson, Bjarni
4 Károlyi, Gyula
4 Kerre, Etienne E.
4 Kleitman, Daniel J.
4 Krupka, Michal
4 Kumbhojkar, H. V.
4 Länger, Helmut M.
4 Lee, Orlando
4 Markowsky, George
4 Medina, Jesús
4 Milner, Eric Charles
4 Molkhasi, Ali
4 Monjardet, Bernard
4 Morsi, Nehad Nashaat
4 Perfilieva, Irina G.
4 Picado, Jorge
4 Raftery, James G.
4 Rasouli, Saeed
...and 1,248 more Authors
all top 5

Cited in 227 Serials

110 Algebra Universalis
75 Fuzzy Sets and Systems
74 Order
69 Discrete Mathematics
39 Transactions of the American Mathematical Society
30 Soft Computing
29 Proceedings of the American Mathematical Society
28 Information Sciences
27 Journal of Combinatorial Theory. Series A
26 Journal of Algebra
25 Czechoslovak Mathematical Journal
23 Discrete Applied Mathematics
19 Semigroup Forum
18 Theoretical Computer Science
17 Communications in Algebra
17 Journal of Pure and Applied Algebra
16 Advances in Mathematics
16 European Journal of Combinatorics
15 Mathematische Zeitschrift
14 Journal of Combinatorial Theory. Series B
13 Mathematica Slovaca
12 Acta Mathematica Hungarica
12 The Electronic Journal of Combinatorics
11 Topology and its Applications
11 Discrete & Computational Geometry
10 Periodica Mathematica Hungarica
10 Archiv der Mathematik
9 Algebra and Logic
9 Studia Logica
9 Graphs and Combinatorics
9 International Journal of Approximate Reasoning
9 International Journal of Algebra and Computation
9 European Journal of Operational Research
9 Linear Algebra and its Applications
9 Journal of Intelligent and Fuzzy Systems
8 Acta Mathematica Academiae Scientiarum Hungaricae
8 Computers & Mathematics with Applications
8 Glasgow Mathematical Journal
8 Siberian Mathematical Journal
8 Combinatorica
8 Annals of Pure and Applied Logic
8 Journal of Algebra and its Applications
7 Journal of Mathematical Analysis and Applications
7 Journal of Computer and System Sciences
7 Advances in Applied Mathematics
6 Information Processing Letters
6 Israel Journal of Mathematics
5 International Journal of General Systems
5 International Journal of Theoretical Physics
5 International Journal of Mathematics and Mathematical Sciences
5 Mathematische Annalen
5 Computational Geometry
5 Archive for Mathematical Logic
4 Demonstratio Mathematica
4 Mathematical Social Sciences
4 Information and Computation
4 Annals of Operations Research
4 Distributed Computing
4 Journal of Algebraic Combinatorics
4 Applied Categorical Structures
4 Combinatorics, Probability and Computing
4 Annals of Mathematics and Artificial Intelligence
4 Abstract and Applied Analysis
4 Iranian Journal of Fuzzy Systems
4 Afrika Matematika
4 Open Mathematics
3 Acta Informatica
3 Mathematical Notes
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Journal of Geometry
3 Journal of Statistical Planning and Inference
3 The Journal of Symbolic Logic
3 Mathematika
3 Monatshefte für Mathematik
3 Quaestiones Mathematicae
3 Tôhoku Mathematical Journal. Second Series
3 Social Choice and Welfare
3 SIAM Journal on Discrete Mathematics
3 MSCS. Mathematical Structures in Computer Science
3 Mathematical Programming. Series A. Series B
3 Journal of Mathematical Sciences (New York)
3 Mathematical Logic Quarterly (MLQ)
3 Economic Theory
3 Journal of Combinatorial Optimization
3 Journal of the Australian Mathematical Society
3 Journal of Multiple-Valued Logic and Soft Computing
3 Bulletin of the American Mathematical Society
3 Asian-European Journal of Mathematics
3 Journal of Applied Mathematics & Informatics
2 Bulletin of the Australian Mathematical Society
2 Linear and Multilinear Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Acta Scientiarum Mathematicarum
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Geometriae Dedicata
2 Journal of Economic Theory
2 Journal of Graph Theory
2 Journal of Mathematical Psychology
...and 127 more Serials
all top 5

Cited in 43 Fields

756 Order, lattices, ordered algebraic structures (06-XX)
269 Combinatorics (05-XX)
253 Mathematical logic and foundations (03-XX)
165 Computer science (68-XX)
96 General algebraic systems (08-XX)
68 General topology (54-XX)
65 Group theory and generalizations (20-XX)
62 Associative rings and algebras (16-XX)
59 Commutative algebra (13-XX)
56 Operations research, mathematical programming (90-XX)
41 Category theory; homological algebra (18-XX)
39 Convex and discrete geometry (52-XX)
38 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Geometry (51-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
19 Functional analysis (46-XX)
10 Measure and integration (28-XX)
9 Real functions (26-XX)
9 Information and communication theory, circuits (94-XX)
7 History and biography (01-XX)
6 Number theory (11-XX)
6 Partial differential equations (35-XX)
6 Quantum theory (81-XX)
5 Topological groups, Lie groups (22-XX)
5 Manifolds and cell complexes (57-XX)
5 Probability theory and stochastic processes (60-XX)
4 Nonassociative rings and algebras (17-XX)
4 Numerical analysis (65-XX)
4 Biology and other natural sciences (92-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Field theory and polynomials (12-XX)
1 Special functions (33-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Statistics (62-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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