Bogart

(Author)

The Dilworth Theorems: Selected Papers of Robert P. Dilworth (Softcover Reprint of the Original 1st 1990)Paperback - Softcover Reprint of the Original 1st 1990, 30 July 2013

The Dilworth Theorems: Selected Papers of Robert P. Dilworth (Softcover Reprint of the Original 1st 1990)
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Part of Series
Contemporary Mathematicians
Print Length
465 pages
Language
English
Publisher
Birkhauser
Date Published
30 Jul 2013
ISBN-10
1489935606
ISBN-13
9781489935601

Description

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.

Product Details

Authors:
BogartKungFreese
Book Edition:
Softcover Reprint of the Original 1st 1990
Book Format:
Paperback
Country of Origin:
NL
Date Published:
30 July 2013
Dimensions:
25.4 x 17.78 x 2.51 cm
ISBN-10:
1489935606
ISBN-13:
9781489935601
Language:
English
Location:
Boston, MA
Pages:
465
Publisher:
Weight:
843.68 gm

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