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分配格序代数 英文版2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

分配格序代数 英文版
  • 方捷著 著
  • 出版社： 北京：科学出版社
  • ISBN：9787030301994
  • 出版时间：2010
  • 标注页数：257页
  • 文件大小：9MB
  • 文件页数：267页
  • 主题词：分配格－英文；序－英文

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图书目录

Chapter 1 Universal Algebra and Lattice-ordered Algebras1

1.1 Universal algebra1

1.2 Lattice-ordered algebras9

1.3 Priestley duality of lattice-ordered algebras10

Chapter 2 Ockham Algebras15

2.1 Subclasses15

2.2 The subdirectly irreducible algebras18

2.3 Ockham chains26

2.4 The structures of finite simple Ockham algebras28

2.5 Isotone mappings on Ockham algebras34

Chapter 3 Extended Ockham Algebras39

3.1 Definition and basic congruences39

3.2 The subdirectly irreducible algebras43

3.3 Symmetric extended de Morgan algebras57

Chapter 4 Double Ockham Algebras61

4.1 Notions and basic results61

4.2 Commuting double Ockham algebras63

4.3 Balanced double Ockham algebras69

Chapter 5 Pseudocomplemented and Demi-pseudocomple-mented Algebras79

5.1 Pseudocomplemented algebras79

5.2 The subdirectly irreducible p-algebras84

5.3 Double pseudocomplemented algebras88

5.4 Ideals and filters90

5.5 Demi-pseudocomplemented algebras94

Chapter 6 Ockham Algebras with Pseudocomplementation102

6.1 Notions and basic results102

6.2 The structure of congruence lattices105

6.3 The subdirectly irreducible algebras113

6.4 The subvarieties of variety pK1,1121

6.5 Ideals and filters in pO-algebras126

Chapter 7 Ockham Algebras with Double Pseudocomple-mentation133

7.1 Notions and properties133

7.2 The structure of the subdirectly irreducible algebras136

Chapter 8 Ockham Algebras with Balanced Pseudocomple-mentation148

8.1 Introduction148

8.2 The structures of the congruence lattices150

8.3 Priestley duality and subdirectly irreducible algebras157

8.4 Equationalbases162

8.5 The subvarieties of bpO determined by axioms168

Chapter 9 Ockham Algebras with Demi-pseudocomple-mentation176

9.1 Notions and basic results176

9.2 K1,1-algebras with demi-pseudocomplementation180

9.3 Weak Stone-Ockham algebras189

Chapter 10 Ockham Algebras with Balanced Demi-pseudocomplementation195

10.1 Basic results195

10.2 The subdirectly irreducible algebras198

Chapter 11 Coherent Congruences on Some Lattice-ordered Algebras211

11.1 Introduction211

11.2 On double MS-algebras211

11.3 On symmetric extended de Morgan algebras219

Chapter 12 The Endomorphism Kernel Property in Ockham Algebras229

12.1 The endomorphism kernel property229

12.2 Ockham algebras235

12.3 De Morgan algebras238

Bibliography247

Notation Index253

Index255

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