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The Dilworth Theorems: Selected Papers of Robert P. Dilworth (Contemporary Mathematicians)

Dilworth Theorems: Selected Papers of Robert P. Dilworth (Contemporary Mathematicians)

By Bogart
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The Dilworth Theorems: Selected Papers of Robert P. Dilworth (Contemporary Mathematicians)

Dilworth Theorems: Selected Papers of Robert P. Dilworth (Contemporary Mathematicians)

By Bogart
4.85 85,936 ratings · 2,741 reviews
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Overview: Reprinted Papers 41 Lattices with Unique Complements On Complemented Lattices 73 Articles 79 M. Adams Uniquely Complemented Lattices G. Kalmbach On Orthomodular Lattices 85 3 Decomposition Theory Background 89 Reprinted Papers Lattices with Unique Irreducible Decompositions 93 The Arithmetical Theory of Birkhoff Lattices 101 Ideals in Birkhoff Lattices 115 Decomposition Theory for Lattices without Chain Conditions 145 (with P. Crawley) 167 Note on the Kurosch-Ore Theorem Structure and Decomposition Theory of Lattices 173 Articles B. Jonsson Dilworth's Work on Decompositions in Semi- 187 modular Lattices B. Monjardet The Consequences of Dilworth's Work on 192 Lattices with Unique Irreducible Decompositions J. Kung Exchange Properties for Reduced Decompositions in 201 Modular Lattices M. Stern The Impact of Dilworth's Work on Semimodular 203 Lattices on the Kurosch-Ore Theorem 4 Modular and Distributive Lattices Background 205 Reprinted Papers The Imbedding Problem for Modular Lattices (with M. Hall) 211 Proof of a Conjecture on Finite Modular Lattices Distributivity in Lattices (with J. McLaughlin) Aspects of Distributivity Articles A. Day and R. Freese The Role of Gluing Constructions in 251 Modular Lattice Theory I. Rival Dilworth's Covering Theorem for Modular Lattices 261 vi THE DILWORTH THEOREMS 5 Geometric and Semimodular Lattices Background 265 Reprinted Papers Dependence Relations in a Semi-modular Lattice 269 A Counterexample to the Generalization of Spemer's Theorem 283 (with C. Greene) Articles U. Faigle Dilworth's Completion, Submodular Functions, and 287 Combinatorial Optimiiation J. Kung Dilworth Truncations of Geometric Lattices 295 J.

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ISBN
2591379
Publication date
June, 1990
Pages
N/A pages
Reading Options
PDF · EPUB · Mobi
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Bogart writes contemporary fiction and has always been fascinated by character-driven stories. They hold a degree in English Literature and previously worked as an editor before transitioning to writing their own books. Bogart lives with their spouse and a very vocal rescue cat.

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Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
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Absolutely brilliant. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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A profoundly satisfying read. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars.
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Took a moment to build, but the payoff was spectacular. A brilliant concept executed with flair. Just a few pacing choices I would change. I would highly recommend this to discerning readers.
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. An absolute must-read for connoisseurs of the genre.
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Exceeded all my expectations. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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Exceeded all my expectations. I became deeply invested in the protagonist's journey. A masterclass in storytelling. An effortless 5 stars.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. An effortless 5 stars.
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Such a rich narrative. The prose is exquisite. It’s accessible yet undeniably sophisticated. Worth every moment spent reading.
Sarah Brown
Sarah Brown May 12, 2024
A highly sophisticated read. The middle had a deliberate pace, but the climax was phenomenal. A wonderful companion for a quiet weekend.
Patricia Phillips
Patricia Phillips January 09, 2024
Honestly one of the most premium reading experiences lately. I became deeply invested in the protagonist's journey. A masterclass in storytelling. I will undoubtedly revisit this masterpiece.
Ryan Rivera
Ryan Rivera March 07, 2024
A highly sophisticated read. It held my rapt attention, even when certain twists were telegraphed. A very distinguished novel.
Donald Wright
Donald Wright May 09, 2025
Such a rich narrative. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. A true literary gem.
Linda Moore
Linda Moore May 26, 2024
A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. A true literary gem.
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Absolutely brilliant. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. I will undoubtedly revisit this masterpiece.
Karen Wilson
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Took a moment to build, but the payoff was spectacular. Beautiful writing, though I craved slightly more depth in the lore. Still, undeniably engaging. I would highly recommend this to discerning readers.
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A profoundly satisfying read. The prose is exquisite. It’s accessible yet undeniably sophisticated. An effortless 5 stars.
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Honestly one of the most premium reading experiences lately. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. An effortless 5 stars.
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Absolutely brilliant. I adored how the story unfolded. It kept me captivated without sacrificing elegance. I am now a lifelong fan of this author.
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I was completely blown away. The author orchestrated a breathtaking finale. Truly a work of art. Worth every moment spent reading.
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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I will undoubtedly revisit this masterpiece.
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Absolutely brilliant. It strikes a perfect harmony of dialogue and world-building. Every chapter felt necessary. Worth every moment spent reading.
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I was completely blown away. The pacing was impeccable and the characters felt incredibly authentic. I was completely immersed. Worth every moment spent reading.
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Excellent, though slightly flawed. The protagonist was compelling, though some subplots felt slightly overshadowed. A very distinguished novel.
Eric Jackson
Eric Jackson November 10, 2025
Such a rich narrative. The author orchestrated a breathtaking finale. Truly a work of art. A true literary gem.
Dorothy Cruz
Dorothy Cruz June 23, 2024
An acceptable diversion. It verged on repetitive in the second act. A more concise edit would have served it well. Suitable if your reading queue is empty.
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