Ivan Rival
Ivan Rival (March 15, 1947 – January 22, 2002 in Ottawa, Ontario, Canada) was a Canadian mathematician and computer scientist, a professor of mathematics at the University of Calgary and of computer science at the University of Ottawa.Rival's Ph.D. thesis concerned lattice theory. After moving to Calgary he began to work more generally with partially ordered sets, and to study fixed point theorems for partially ordered structures. He was a frequent organizer of conferences in order theory, and in 1984 he founded the journal ''Order''. As a computer scientist at Ottawa, he shifted research topics, applying his expertise in order theory to the study of data structures, computational geometry, and graph drawing.
Rival grew up in Hamilton, Ontario. He earned a bachelor's degree at McMaster University in 1969, and received his Ph.D. from the University of Manitoba in 1974 under the supervision of George Gratzer. After postdoctoral stints visiting Robert Dilworth at Caltech and Rudolf Wille at the Technische Hochschule Darmstadt, he took a faculty position at Calgary in 1975, and was promoted to full professor in 1981. In 1986, he moved to the University of Ottawa, where he became chair of the computer science department.
Rival's doctoral students included Dwight Duffus, the Goodrich C. White Professor of Mathematics & Computer Science at Emory University. Duffus took over the editorship of ''Order'' after the retirement (as editor) of William T. Trotter, who took over the editorship from Rival. Provided by Wikipedia
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Graphs and Order The Role of Graphs in the Theory of Ordered Sets and Its Applications by Rival, Ivan
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Lattices freely generated by partially ordered sets which can be "drawn"? by Rival, Ivan, Wille, Rudolf 1937-2017
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An arithmetical theorem for modular lattices by Ganter, Bernhard 1949-, Rival, Ivan
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Ordered Sets Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981 by Rival, Ivan
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A simple proof of a theorem of Dilworth by Ganter, Bernhard 1949-, Rival, Ivan
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Finite sublattices generated by order-isomorphic subsets by Poguntke, Werner 1949-, Rival, Ivan
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Algorithms and Order by Rival, Ivan
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A fixed point theorem for finite partially ordered sets by Rival, Ivan
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A note on linear extensions of irreducible elements in a finite lattice by Rival, Ivan
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Combinatorial inequalities for semimodular lattices of breadth two by Rival, Ivan
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Finite four-generated simple lattices contain all finite lattices by Poguntke, Werner 1949-, Rival, Ivan
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Graphs and order the role of graphs in the theory of ordered sets and its applications ; [proceedings of the NATO Advanced Study Inst. on Graphs and Order, Banff, Canada, May 18 -...
Published 1985Other Authors: “…Rival, Ivan…”
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Combinatorics and ordered sets proceedings of the AMS-IMS-SIAM Joint Summer Research Conference [in the Mathematical Sciences on Combinatorics] held August 11-17, 1985, with suppor...
Published 1986Other Authors: “…Rival, Ivan…”
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Ordered sets proceedings of the Nato Advanced Study Inst. held at Banff, Canada, August 28 to September 12, 1981
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