Robert P. Dilworth

Robert P. Dilworth's AcademicInfluence.com Rankings

Robert P. Dilworth

Mathematics

#3096

World Rank

#4638

Historical Rank

#1171

USA Rank

Algebra

#127

World Rank

#201

Historical Rank

#35

USA Rank

Measure Theory

#1268

World Rank

#1607

Historical Rank

#458

USA Rank

mathematics Degrees

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Mathematics

Why Is Robert P. Dilworth Influential?

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According to Wikipedia, Robert Palmer Dilworth was an American mathematician. His primary research area was lattice theory; his biography at the MacTutor History of Mathematics archive states "it would not be an exaggeration to say that he was one of the main factors in the subject moving from being merely a tool of other disciplines to an important subject in its own right". He is best known for Dilworth's theorem relating chains and antichains in partial orders; he was also the first to study antimatroids .

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Robert P. Dilworth's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A DECOMPOSITION THEOREM FOR PARTIALLY ORDERED SETS (1950) (1289)
Algebraic theory of lattices (1973) (620)
Residuated Lattices. (1938) (408)
Review: G. Birkhoff, Lattice theory (1950) (319)
Non-Commutative Residuated Lattices (1939) (147)
Abstract commutative ideal theory. (1962) (126)
Lattices with Unique Complements (1945) (85)
The normal completion of the lattice of continuous functions (1950) (77)
Lattices with Unique Irreducible Decompositions (1940) (73)
Decomposition Theory for Lattices without Chain Conditions (1960) (65)
The Structure of Relatively Complemented Lattices (1950) (63)
The Imbedding Problem for Modular Lattices (1944) (58)
Abstract Residuation over Lattices (1938) (57)
Dependence Relations in a Semi-Modular Lattice (1944) (51)
Some Combinatorial Problems on Partially Ordered Sets (1990) (50)
Proof of a Conjecture on Finite Modular Lattices (1954) (39)
The Arithmetical Theory of Birkhoff Lattices (1941) (28)
A Counterexample to the Generalization of Sperner’s Theorem (1971) (25)
Distributivity in lattices (1952) (20)
Ideals in Birkhoff lattices (1941) (15)
A generalized Cantor theorem (1962) (12)
The Lattice Theory of Ova (1939) (11)
Aspects of distributivity (1984) (9)
Evaluations Over Residuated Structures (1939) (9)
On Complemented Lattices (1990) (9)
Note on the Kurosch-Ore theorem (1946) (9)
Structure and Decomposition Theory of Lattices (1990) (8)
Generators of lattice varieties (1976) (8)
Note on complemented modular lattices (1940) (8)
The Role of Order in Lattice Theory (1982) (7)
The structure and arithmetical theory of non-commutative residuated lattices (1939) (5)
Note on the Strong Law of Large Numbers (1949) (3)
Note on a paper by C. E. Rickart (1949) (3)
Non-commutative arithmetic (1939) (2)
A Cross-Cultural Perspectives of Academic and Clinical Preparation (1989) (1)
Enumeration in geometric lattices (1986) (0)
Studies in Mathematics, Volume XVIII: Puzzle Problems and Games Project. Final Report. (1968) (0)
Puzzle problems and games project, final report (1968) (0)
Review: D. J. A. Welsh, Matroid theory (1978) (0)
Book Review: The theory of lattices (1953) (0)
THE ROLE OF TESTING IN EDUCATIONAL EVALUATION (1971) (0)

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Robert P. Dilworth's Academic­Influence.com Rankings

Why Is Robert P. Dilworth Influential?

Robert P. Dilworth's Published Works

Published Works

Other Resources About Robert P. Dilworth

What Schools Are Affiliated With Robert P. Dilworth?

Robert P. Dilworth's AcademicInfluence.com Rankings