Edit Profile Dilworth, Robert Palmer Compute Distance To: Compute Author ID: dilworth.robert-palmer Published as: Dilworth, R. P.; Dilworth, Robert P. External Links: MGP · Wikidata · GND · MacTutor Documents Indexed: 47 Publications since 1938, including 3 Books Biographic References: 1 Publication 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 9 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 41 Publications have been cited 1,475 times in 1,219 Documents Cited by ▼ Year ▼ A decomposition theorem for partially ordered sets. Zbl 0038.02003Dilworth, R. P. 373 1950 Algebraic theory of lattices. Zbl 0494.06001Crawley, Peter; Dilworth, Robert P. 311 1973 Residuated lattices. JFM 65.0084.01Ward, M.; Dilworth, R. P. 134 1939 Residuated lattices. Zbl 0021.10801Ward, Morgan; Dilworth, R. P. 129 1939 Abstract commutative ideal theory. Zbl 0111.04104Dilworth, R. P. 64 1962 Lattices with unique irreducible decompositions. Zbl 0025.10202Dilworth, R. P. 50 1940 The normal completion of the lattice of continuous functions. Zbl 0037.20205Dilworth, R. P. 32 1950 Non-commutative residuated lattices. Zbl 0022.10402Dilworth, R. P. 31 1939 The structure of relatively complemented lattices. Zbl 0036.01802Dilworth, R. P. 29 1950 The imbedding problem for modular lattices. Zbl 0060.06102Hall, M.; Dilworth, R. P. 29 1944 Decomposition theory for lattices without chain conditions. Zbl 0091.03004Dilworth, R. P.; Crawley, Peter 27 1960 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 Proof of a conjecture on finite modular lattices. Zbl 0056.26203Dilworth, R. P. 21 1954 Lattices with unique irreducible decompositions. JFM 66.0101.05Dilworth, R. P. 17 1940 The arithmetical theory of Birkhoff lattices. Zbl 0025.10203Dilworth, R. P. 15 1941 Non-commutative residuated lattices. JFM 65.0084.02Dilworth, R. P. 15 1939 Residuated lattices. Zbl 0018.29003Ward, Morgan; Dilworth, R. P. 15 1938 Distributivity in lattices. Zbl 0047.26103Dilworth, R. P.; McLaughlin, J. E. 14 1952 A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022Dilworth, R. P.; Greene, Curtis 13 1971 Dependence relations in a semi-modular lattice. Zbl 0060.06101Dilworth, R. P. 9 1944 On complemented lattices. Zbl 0023.10202Dilworth, R. P. 8 1940 Ideals in Birkhoff lattices. Zbl 0025.01203Dilworth, R. P. 7 1941 The lattice theory of ova. Zbl 0021.21201Ward, Morgan; Dilworth, R. P. 7 1939 Residuated lattices. JFM 64.0072.03Ward, M.; Dilworth, R. P. 7 1938 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. 6 1990 A generalized Cantor theorem. Zbl 0109.24203Gleason, Andrew M.; Dilworth, Robert P. 5 1962 Aspects of distributivity. Zbl 0541.06005Dilworth, R. P. 4 1984 Structure and decomposition theory of lattices. Zbl 0101.27004Dilworth, R. P. 4 1961 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 Note on complemented modular lattices. Zbl 0022.30202Dilworth, R. P. 4 1940 Generators of lattice varieties. Zbl 0381.06008Dilworth, R. P.; Freese, Ralph 3 1976 The arithmetical theory of Birkhoff lattices. JFM 67.0087.01Dilworth, R. P. 3 1941 Note on a paper by C. E. Rickart. Zbl 0035.30102Dilworth, R. P.; Ward, Morgan 2 1949 Evaluations over residuated structures. Zbl 0020.34304Ward, Morgan; Dilworth, R. P. 2 1939 The lattice theory of ova. JFM 65.0085.01Ward, M.; Dilworth, R. P. 2 1939 Ideals in Birkhoff lattices. JFM 67.0087.02Dilworth, R. P. 1 1941 Non-commutative arithmetic. Zbl 0021.10704Dilworth, R. P. 1 1939 Abstract residuation over lattices. JFM 64.0073.01Dilworth, R. P. 1 1938 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. 6 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. 311 1973 A counterexample to the generalisation of Sperner’s theorem. Zbl 0257.05022Dilworth, R. P.; Greene, Curtis 13 1971 Abstract commutative ideal theory. Zbl 0111.04104Dilworth, R. P. 64 1962 A generalized Cantor theorem. Zbl 0109.24203Gleason, Andrew M.; Dilworth, Robert P. 5 1962 Structure and decomposition theory of lattices. Zbl 0101.27004Dilworth, R. P. 4 1961 Decomposition theory for lattices without chain conditions. Zbl 0091.03004Dilworth, R. P.; Crawley, Peter 27 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. 21 1954 Distributivity in lattices. Zbl 0047.26103Dilworth, R. P.; McLaughlin, J. E. 14 1952 A decomposition theorem for partially ordered sets. Zbl 0038.02003Dilworth, R. P. 373 1950 The normal completion of the lattice of continuous functions. Zbl 0037.20205Dilworth, R. P. 32 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. 29 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. 15 1941 Ideals in Birkhoff lattices. Zbl 0025.01203Dilworth, R. P. 7 1941 The arithmetical theory of Birkhoff lattices. JFM 67.0087.01Dilworth, R. P. 3 1941 Ideals in Birkhoff lattices. JFM 67.0087.02Dilworth, R. P. 1 1941 Lattices with unique irreducible decompositions. Zbl 0025.10202Dilworth, R. P. 50 1940 Lattices with unique irreducible decompositions. JFM 66.0101.05Dilworth, R. P. 17 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. 134 1939 Residuated lattices. Zbl 0021.10801Ward, Morgan; Dilworth, R. P. 129 1939 Non-commutative residuated lattices. Zbl 0022.10402Dilworth, R. P. 31 1939 Non-commutative residuated lattices. JFM 65.0084.02Dilworth, R. P. 15 1939 The lattice theory of ova. Zbl 0021.21201Ward, Morgan; Dilworth, R. P. 7 1939 Evaluations over residuated structures. Zbl 0020.34304Ward, Morgan; Dilworth, R. P. 2 1939 The lattice theory of ova. JFM 65.0085.01Ward, M.; Dilworth, R. P. 2 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. 15 1938 Residuated lattices. JFM 64.0072.03Ward, M.; Dilworth, R. P. 7 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 1,275 Authors 26 Herrmann, Christian 22 Czédli, Gábor 18 Bělohlávek, Radim 18 Trotter, William T. jun. 16 Freese, Ralph S. 15 Rival, Ivan 14 Wang, Xueping 13 Albu, Toma 13 Anderson, Daniel D. 13 Erné, Marcel 13 Johnson, Eugene W. 11 Faigle, Ulrich 11 Jayaram, Chillumuntala 11 Johnson, Johnny A. 11 Konecny, Jan 11 Schmidt, Elegius Tamas 10 West, Douglas Brent 9 Walendziak, Andrzej 9 Zhao, Bin 8 Chajda, Ivan 8 Dilworth, Robert Palmer 8 Grätzer, George 8 Harding, John 8 Hu, Baoqing 8 van der Walt, Jan Harm 7 Bogart, Kenneth P. 7 Nation, James B. 7 Radeleczki, Sándor 7 Schwidefsky, Marina V. 7 Van den Brink, René 7 Vychodil, Vilém 6 Adaricheva, Kira Vladislavovna 6 Bezhanishvili, Guram 6 Iosif, Mihai 6 Janowitz, Melvin F. 6 Johnston, Katherine G. 6 Klein-Barmen, Fritz 6 Li, Qingguo 6 Montagna, Franco 6 Olberding, Bruce M. 6 Pouzet, Maurice 6 Qiu, Daowen 6 Tsinakis, Constantine 5 Avann, S. P. 5 Baker, Kirby A. 5 Bakhshi, Mahmood 5 Bilbao, Jesús Mario 5 Day, Alan 5 Duffus, Dwight 5 Fox, Jacob 5 Gorbunov, Viktor Aleksandrovich 5 Halaš, Radomír 5 Jiménez-Losada, Andrés 5 Knauer, Kolja B. 5 Pióro, Konrad 5 Stern, Manfred 5 Suk, Andrew 5 Tepavčević, Andreja 5 Xin, Xiaolong 5 Xu, Xiaoquan 5 Zhang, Wenfeng 4 Blok, Willem Johannes 4 Borumand Saeid, Arsham 4 Botur, Michal 4 Cornelis, Chris 4 Deschrijver, Glad 4 Doignon, Jean-Paul 4 Gehrke, Mai 4 Greene, Curtis 4 Han, Shengwei 4 Hartman, Irith Ben-Arroyo 4 He, Pengfei 4 Jónsson, Bjarni 4 Joshi, Vinayak V. 4 Károlyi, Gyula 4 Kerre, Etienne E. 4 Kleitman, Daniel J. 4 Krupka, Michal 4 Kumbhojkar, H. V. 4 Markowsky, George 4 Milner, Eric Charles 4 Monjardet, Bernard 4 Morandi, Patrick J. 4 Morsi, Nehad Nashaat 4 Pach, János 4 Perfilieva, Irina G. 4 Picado, Jorge 4 Piciu, Dana 4 Qiao, Junsheng 4 Qu, Xiaobing 4 Raftery, James G. 4 Rasouli, Saeed 4 Rosenthal, Kimmo I. 4 Rump, Wolfgang 4 Schmidt, Stefan E. 4 Šešelja, Branimir 4 Steiner, George 4 Van Gasse, Bart 4 Walczak, Bartosz 4 Wehrung, Friedrich ...and 1,175 more Authors all top 5 Cited in 206 Serials 104 Algebra Universalis 72 Order 71 Fuzzy Sets and Systems 70 Discrete Mathematics 38 Transactions of the American Mathematical Society 28 Proceedings of the American Mathematical Society 27 Information Sciences 27 Journal of Combinatorial Theory. Series A 26 Journal of Algebra 26 Soft Computing 25 Czechoslovak Mathematical Journal 23 Discrete Applied Mathematics 19 Semigroup Forum 18 Journal of Pure and Applied Algebra 17 Theoretical Computer Science 16 Communications in Algebra 16 Advances in Mathematics 16 Journal of Combinatorial Theory. Series B 15 Mathematische Zeitschrift 14 European Journal of Combinatorics 12 Mathematica Slovaca 12 Acta Mathematica Hungarica 11 Topology and its Applications 10 Periodica Mathematica Hungarica 10 Archiv der Mathematik 9 Algebra and Logic 9 Studia Logica 9 Discrete & Computational Geometry 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 Graphs and Combinatorics 8 International Journal of Algebra and Computation 8 European Journal of Operational Research 8 The Electronic Journal of Combinatorics 7 Journal of Mathematical Analysis and Applications 7 Journal of Computer and System Sciences 7 Annals of Pure and Applied Logic 7 International Journal of Approximate Reasoning 6 Israel Journal of Mathematics 6 Advances in Applied Mathematics 6 Journal of Algebra and its Applications 5 International Journal of General Systems 5 International Journal of Theoretical Physics 5 Information Processing Letters 5 Mathematische Annalen 5 Information and Computation 5 Computational Geometry 4 Demonstratio Mathematica 4 Mathematical Social Sciences 4 Annals of Operations Research 4 Distributed Computing 4 Archive for Mathematical Logic 4 Combinatorics, Probability and Computing 4 Annals of Mathematics and Artificial Intelligence 4 Abstract and Applied Analysis 4 Central European Journal of Mathematics 4 Iranian Journal of Fuzzy Systems 4 Afrika Matematika 3 Acta Informatica 3 Mathematical Notes 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Geometry 3 Journal of Statistical Planning and Inference 3 The Journal of Symbolic Logic 3 Mathematika 3 Monatshefte für Mathematik 3 Tohoku Mathematical Journal. Second Series 3 SIAM Journal on Discrete Mathematics 3 MSCS. Mathematical Structures in Computer Science 3 Mathematical Programming. Series A. Series B 3 Journal of Algebraic Combinatorics 3 Journal of Mathematical Sciences (New York) 3 Mathematical Logic Quarterly (MLQ) 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 Open Mathematics 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 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 2 Journal of Soviet Mathematics 2 Kybernetika 2 Mathematical Systems Theory 2 Quaestiones Mathematicae 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics ...and 106 more Serials all top 5 Cited in 43 Fields 719 Order, lattices, ordered algebraic structures (06-XX) 254 Combinatorics (05-XX) 235 Mathematical logic and foundations (03-XX) 153 Computer science (68-XX) 92 General algebraic systems (08-XX) 58 General topology (54-XX) 57 Group theory and generalizations (20-XX) 54 Associative rings and algebras (16-XX) 54 Operations research, mathematical programming (90-XX) 52 Commutative algebra (13-XX) 35 Category theory; homological algebra (18-XX) 35 Convex and discrete geometry (52-XX) 35 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) 17 Functional analysis (46-XX) 9 Real functions (26-XX) 9 Information and communication theory, circuits (94-XX) 8 Measure and integration (28-XX) 7 History and biography (01-XX) 6 Number theory (11-XX) 6 Partial differential equations (35-XX) 5 Topological groups, Lie groups (22-XX) 5 Manifolds and cell complexes (57-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 Nonassociative rings and algebras (17-XX) 4 Numerical analysis (65-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Biology and other natural sciences (92-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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