本书主要介绍扩张Ockham代数、可交换双重Ockham代数、平衡双重Ockham代数、伪补Ockham代数、双重伪补Ockham代数、拟伪补Ockham代数、平衡伪补Ockham代数、平衡双重伪补Ockham代数等与Ockham代数相关的一元运算有界分配格代数类。论述这些代数的同余性质与主同余表示定理、其次直不可约代数的结构与特征表示定理，Priestley拓扑对偶空间和代数蔟格的公理化表示以及某些同余可换代数与同余coherence代数的特征和结构。
样章试读
目录
- Foreword
Preface
Chapter 1 Universal Algebra and Lattice-ordered Algebras
1.1 Universal algebra
1.2 Lattice-ordered algebras
1.3 Priestley duality of lattice-ordered algebras
Chapter 2 Ockham Algebras
2.1 Subclasses
2.2 The subdirectly irreducible algebras
2.3 Ockham chains
2.4 The structures of finite simple Ockham algebras
2.5 Isotone mappings on Ockham algebras
Chapter 3 Extended Ockham Algebras
3.1 Definition and basic congruences
3.2 The subdirectly irreducible algebras
3.3 Symmetric extended de Morgan algebras
Chapter 4 Double Ockham Algebras
4.1 Notions and basic results
4.2 Commuting double Ockham algebras
4.3 Balanced double Ockham algebras
Chapter 5 Pseudocomplemented and Demi-pseudocomplemented Algebras
5.1 Pseudocomplemented algebras
5.2 The subdirectly irreducible p-algebras
5.3 Double pseudocomplemented algebras
5.4 Ideals and filters
5.5 Demi-pseudocomplemented algebras
Chapter 6 Ockham Algebras with Pseudocomplementation
6.1 Notions and basic results
6.2 The structure of congruence lattices
6.3 The subdirectly irreducible algebras
6.4 The subvarieties of variety pK_1,1
6.5 Ideals and filters in pO-algebras
Chapter 7 Ockham Algebras with Double Pseudocomplementation
7.1 Notions and properties
7.2 The structure of the subdirectly irreducible algebras
Chapter 8 Ockham Algebras with Balanced Pseudocomplementation
8.1 Introduction
8.2 The structures of the congruence lattices
8.3 Priestley duality and subdirectly irreducible algebras
8.4 Equational bases
8.5 The subvarieties of bpO determined by axioms
Chapter 9 Ockham Algebras with Demi-pseudocomplementation
9.1 Notions and basic results
9.2 K_1,1-algebras with demipseudocomplementation
9.3 Weak Stone-Ockham algebras
Chapter 10 Ockham Algebras with Balanced Demipseudocomplementation
10.1 Basic results
10.2 The subdirectly irreducible algebras
Chapter 11 Coherent Congruences on Some Latticeordered Algebras
11.1 Introduction
11.2 On double MS-algebras
11.3 On symmetric extended de Morgan algebras
Chapter 12 The Endomorphism Kernel Property in Ockham
12.1 The endomorphism kernel property
12.2 Ockham algebras
12.3 De Morgan algebras
Bibliography
Notation Index
Index
京公网安备 11010102004214号