The Dilworth Theorems Selected Papers of Robert P. Dilworth
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
1990, 1990
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| Edition: | 1st ed. 1990 |
| Series: | Contemporary Mathematicians
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Exchange Properties for Reduced Decompositions in Modular Lattices
- The Impact of Dilworth’s Work on Semimodular Lattices on the Kurosch-Ore Theorem
- Modular and Distributive Lattices
- The Imbedding Problem for Modular Lattices
- Proof of a Conjecture on Finite Modular Lattices
- Distributivity in Lattices
- Aspects of distributivity
- The Role of Gluing Constructions in Modular Lattice Theory
- Dilworth’s Covering Theorem for Modular Lattices
- Geometric and Semimodular Lattices
- Dependence Relations in a Semi-Modular Lattice
- A Counterexample to the Generalization of Sperner’s Theorem
- Dilworth’s Completion, Submodular Functions, and Combinatorial Optimization
- Dilworth Truncations of Geometric Lattices
- The Sperner Property in Geometric and Partition Lattices
- Multiplicative Lattices
- Abstract Residuation over Lattices
- Residuated Lattices.-Non-Commutative Residuated Lattices
- Non-Commutative Arithmetic
- Abstract Commutative Ideal Theory
- Dilworth’s Early Papers on Residuated and Multiplicative Lattices
- Abstract Ideal Theory: Principals and Particulars
- Representation and Embedding Theorems for Noether Lattices and r-Lattices
- Miscellaneous Papers
- The Structure of Relatively Complemented Lattices
- The Normal Completion of the Lattice of Continuous Functions
- A Generalized Cantor Theorem
- Generators of lattice varieties
- Lattice Congruences and Dilworth’s Decomposition of Relatively Complemented Lattices
- The Normal Completion of the Lattice of Continuous Functions
- Cantor Theorems for Relations
- Ideal and Filter Constructions in Lattice Varieties
- Two Results from “Algebraic Theory of Lattices”
- Dilworth’s Proof of the Embedding Theorem
- On the Congruence Lattice of a Lattice
- Chain Partitions in Ordered Sets
- A Decomposition Theorem for Partially Ordered Sets
- Some Combinatorial Problems on Partially Ordered Sets
- The Impact of the Chain Decomposition Theorem on Classical Combinatorics
- Dilworth’s Decomposition Theorem in the Infinite Case
- Effective Versions of the Chain Decomposition Theorem
- Complementation
- Lattices with Unique Complements
- On Complemented Lattices
- Uniquely Complemented Lattices
- On Orthomodular Lattices
- Decomposition Theory
- Lattices with Unique Irreducible Decompositions
- The Arithmetical Theory of Birkhoff Lattices
- Ideals in Birkhoff Lattices
- Decomposition Theory for Lattices without Chain Conditions
- Note on the Kurosch-Ore Theorem
- Structure and Decomposition Theory of Lattices
- Dilworth’s Work on Decompositions in Semimodular Lattices
- The Consequences of Dilworth’s Work on Lattices with Unique Irreducible Decompositions