Edit Profile (opens in new tab) Dilworth, Robert Palmer Compute Distance To: Compute Author ID: dilworth.robert-palmer Published as: Dilworth, R. P.; Dilworth, Robert P. External Links: MacTutor · MGP · Wikidata · GND · IdRef 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 all top 5 Co-Authors 31 single-authored 9 Ward, Morgan 2 Crawley, Peter 1 Freese, Ralph S. 1 Gleason, Andrew Mattei 1 Greene, Curtis 1 Hall, Marshall jun. 1 McLaughlin, Jack E. all top 5 Serials 10 Annals of Mathematics. Second Series 9 Transactions of the American Mathematical Society 6 Duke Mathematical Journal 6 Bulletin of the American Mathematical Society 2 Algebra Universalis 2 Proceedings of the National Academy of Sciences of the United States of America 2 Tohoku Mathematical Journal 1 American Mathematical Monthly 1 Journal of Combinatorial Theory. Series A 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of Symposia in Pure Mathematics 1 Contemporary Mathematicians all top 5 Fields 10 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) Publications by Year all cited Publications top 5 cited Publications 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 0038.02003Dilworth, R. P. 406 1950 Algebraic theory of lattices. Zbl 0494.06001Crawley, Peter; Dilworth, Robert P. 318 1973 Residuated lattices. JFM 65.0084.01Ward, M.; Dilworth, R. P. 141 1939 Residuated lattices. Zbl 0021.10801Ward, Morgan; Dilworth, R. P. 116 1939 Abstract commutative ideal theory. Zbl 0111.04104Dilworth, R. P. 71 1962 Lattices with unique irreducible decompositions. Zbl 0025.10202Dilworth, R. P. 46 1940 The normal completion of the lattice of continuous functions. Zbl 0037.20205Dilworth, R. P. 35 1950 Non-commutative residuated lattices. Zbl 0022.10402Dilworth, R. P. 34 1939 Decomposition theory for lattices without chain conditions. Zbl 0091.03004Dilworth, R. P.; Crawley, Peter 30 1960 The imbedding problem for modular lattices. Zbl 0060.06102Hall, M.; Dilworth, R. P. 30 1944 The structure of relatively complemented lattices. Zbl 0036.01802Dilworth, R. P. 29 1950 Lattices with unique complements. Zbl 0060.06103Dilworth, R. P. 26 1945 Abstract residuation over lattices. Zbl 0018.34104Dilworth, R. P. 25 1938 Some combinatorial problems on partially ordered sets. Zbl 0096.00601Dilworth, R. P. 21 1960 Lattices with unique irreducible decompositions. JFM 66.0101.05Dilworth, R. P. 21 1940 Proof of a conjecture on finite modular lattices. Zbl 0056.26203Dilworth, R. P. 20 1954 Non-commutative residuated lattices. JFM 65.0084.02Dilworth, R. P. 17 1939 The arithmetical theory of Birkhoff lattices. Zbl 0025.10203Dilworth, R. P. 16 1941 Residuated lattices. Zbl 0018.29003Ward, Morgan; Dilworth, R. P. 14 1938 Distributivity in lattices. Zbl 0047.26103Dilworth, R. P.; McLaughlin, J. E. 13 1952 A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022Dilworth, R. P.; Greene, Curtis 12 1971 The lattice theory of ova. Zbl 0021.21201Ward, Morgan; Dilworth, R. P. 9 1939 Dependence relations in a semi-modular lattice. Zbl 0060.06101Dilworth, R. P. 9 1944 Residuated lattices. JFM 64.0072.03Ward, M.; Dilworth, R. P. 8 1938 On complemented lattices. Zbl 0023.10202Dilworth, R. P. 8 1940 Ideals in Birkhoff lattices. Zbl 0025.01203Dilworth, R. P. 8 1941 A generalized Cantor theorem. Zbl 0109.24203Gleason, 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 0907.06001Dilworth, Robert P. 5 1990 Structure and decomposition theory of lattices. Zbl 0101.27004Dilworth, R. P. 5 1961 Aspects of distributivity. Zbl 0541.06005Dilworth, R. P. 4 1984 Note on complemented modular lattices. Zbl 0022.30202Dilworth, R. P. 4 1940 Note on the strong law of large numbers. Zbl 0032.41604Dilworth, R. P. 4 1949 Note on the Kurosch-Ore theorem. Zbl 0060.06107Dilworth, R. P. 4 1946 Generators of lattice varieties. Zbl 0381.06008Dilworth, R. P.; Freese, Ralph 3 1976 Evaluations over residuated structures. Zbl 0020.34304Ward, Morgan; Dilworth, R. P. 3 1939 The arithmetical theory of Birkhoff lattices. JFM 67.0087.01Dilworth, R. P. 2 1941 Note on a paper by C. E. Rickart. Zbl 0035.30102Dilworth, R. P.; Ward, Morgan 2 1949 The lattice theory of ova. JFM 65.0085.01Ward, M.; Dilworth, R. P. 1 1939 Abstract residuation over lattices. JFM 64.0073.01Dilworth, R. P. 1 1938 Non-commutative arithmetic. Zbl 0021.10704Dilworth, 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 0907.06001Dilworth, Robert P. 5 1990 Aspects of distributivity. Zbl 0541.06005Dilworth, R. P. 4 1984 Generators of lattice varieties. Zbl 0381.06008Dilworth, R. P.; Freese, Ralph 3 1976 Algebraic theory of lattices. Zbl 0494.06001Crawley, Peter; Dilworth, Robert P. 318 1973 A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022Dilworth, R. P.; Greene, Curtis 12 1971 Abstract commutative ideal theory. Zbl 0111.04104Dilworth, R. P. 71 1962 A generalized Cantor theorem. Zbl 0109.24203Gleason, Andrew M.; Dilworth, Robert P. 7 1962 Structure and decomposition theory of lattices. Zbl 0101.27004Dilworth, R. P. 5 1961 Decomposition theory for lattices without chain conditions. Zbl 0091.03004Dilworth, R. P.; Crawley, Peter 30 1960 Some combinatorial problems on partially ordered sets. Zbl 0096.00601Dilworth, R. P. 21 1960 Proof of a conjecture on finite modular lattices. Zbl 0056.26203Dilworth, R. P. 20 1954 Distributivity in lattices. Zbl 0047.26103Dilworth, R. P.; McLaughlin, J. E. 13 1952 A decomposition theorem for partially ordered sets. Zbl 0038.02003Dilworth, R. P. 406 1950 The normal completion of the lattice of continuous functions. Zbl 0037.20205Dilworth, R. P. 35 1950 The structure of relatively complemented lattices. Zbl 0036.01802Dilworth, R. P. 29 1950 Note on the strong law of large numbers. Zbl 0032.41604Dilworth, R. P. 4 1949 Note on a paper by C. E. Rickart. Zbl 0035.30102Dilworth, R. P.; Ward, Morgan 2 1949 Note on the Kurosch-Ore theorem. Zbl 0060.06107Dilworth, R. P. 4 1946 Lattices with unique complements. Zbl 0060.06103Dilworth, R. P. 26 1945 The imbedding problem for modular lattices. Zbl 0060.06102Hall, M.; Dilworth, R. P. 30 1944 Dependence relations in a semi-modular lattice. Zbl 0060.06101Dilworth, R. P. 9 1944 The arithmetical theory of Birkhoff lattices. Zbl 0025.10203Dilworth, R. P. 16 1941 Ideals in Birkhoff lattices. Zbl 0025.01203Dilworth, R. P. 8 1941 The arithmetical theory of Birkhoff lattices. JFM 67.0087.01Dilworth, R. P. 2 1941 Lattices with unique irreducible decompositions. Zbl 0025.10202Dilworth, R. P. 46 1940 Lattices with unique irreducible decompositions. JFM 66.0101.05Dilworth, R. P. 21 1940 On complemented lattices. Zbl 0023.10202Dilworth, R. P. 8 1940 Note on complemented modular lattices. Zbl 0022.30202Dilworth, R. P. 4 1940 Residuated lattices. JFM 65.0084.01Ward, M.; Dilworth, R. P. 141 1939 Residuated lattices. Zbl 0021.10801Ward, Morgan; Dilworth, R. P. 116 1939 Non-commutative residuated lattices. Zbl 0022.10402Dilworth, R. P. 34 1939 Non-commutative residuated lattices. JFM 65.0084.02Dilworth, R. P. 17 1939 The lattice theory of ova. Zbl 0021.21201Ward, Morgan; Dilworth, R. P. 9 1939 Evaluations over residuated structures. Zbl 0020.34304Ward, Morgan; Dilworth, R. P. 3 1939 The lattice theory of ova. JFM 65.0085.01Ward, M.; Dilworth, R. P. 1 1939 Non-commutative arithmetic. Zbl 0021.10704Dilworth, R. P. 1 1939 Abstract residuation over lattices. Zbl 0018.34104Dilworth, R. P. 25 1938 Residuated lattices. Zbl 0018.29003Ward, Morgan; Dilworth, R. P. 14 1938 Residuated lattices. JFM 64.0072.03Ward, M.; Dilworth, R. P. 8 1938 Abstract residuation over lattices. JFM 64.0073.01Dilworth, R. P. 1 1938 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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