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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 84,777 ratings · 4,260 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 is a writer and avid reader based in the Pacific Northwest. Before pursuing writing full-time, they spent over a decade working in education. When not working on their next book, Bogart can usually be found hiking with their dog or trying out new coffee shops in their neighborhood.

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Exceeded all my expectations. The prose is exquisite. It’s accessible yet undeniably sophisticated. I am now a lifelong fan of this author.
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Excellent, though slightly flawed. A brilliant concept executed with flair. Just a few pacing choices I would change. A wonderful companion for a quiet weekend.
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I find myself somewhat conflicted. The prose was competent, yet the characters lacked the depth I usually seek. Unlikely to reread, but a reasonable expenditure of time.
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George Diaz
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Masterpiece from start to finish. The author orchestrated a breathtaking finale. Truly a work of art. An absolute must-read for connoisseurs of the genre.
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Christopher Phillips
Christopher Phillips November 10, 2024
I thoroughly enjoyed the elegance of it. The protagonist was compelling, though some subplots felt slightly overshadowed. I would highly recommend this to discerning readers.
Ashley Anderson
Ashley Anderson June 18, 2024
I thoroughly enjoyed the elegance of it. It held my rapt attention, even when certain twists were telegraphed. A wonderful companion for a quiet weekend.
Thomas Scott
Thomas Scott June 21, 2025
I was completely blown away. I adored how the story unfolded. It kept me captivated without sacrificing elegance. An absolute must-read for connoisseurs of the genre.
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