出版社：科学出版社
年代：2011
定价：68.0
本书主要介绍扩张AA代数、可交换双重AA代数、平衡双重AA代数、伪补AA代数、双重伪补AA代数、拟伪补AA代数、平衡伪补AA代数、平衡双重伪补AA代数等与AA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。
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-pseudocomplemerited 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 pk1,1
6.5 ideals and filters in po-algebras
chapter 7 oekham 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 k1,1-algebras with demi-pseudocomplementation
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 lattice-ordered algebras
ll.1 introduction
11.2 on double ms-algebras
11.3 on symmetric extended de morgan algebras
chapter 12 the endomorphism kernel property in ockham algebras
12.1 the endomorphism kernel property
12.2 ockham algebras
12.3 de morgan algebras
bibliography
notation index
index
《分配格序代数(英文版）》是由科学出版社出版的。 《分配格序代数(英文版）》内容简介：With the development of information science and theoretical computer science, lattice-ordered algebraic structure theory has played a more and more important role in theoretical and applied science. Not only is it an important branch of modern mathematics, but it also has broad and important applications in algebra, topology, fuzzy mathematics and other applied sciences such as coding theory, computer programs, multi-valued logic and science of information systems, etc. The research in distributive lattices with unary operations has made great progress in the past three decades, since Joel Berman first introduced the distributive lattices with an additional unary operation in 1978, which were named Ockham algebras by Goldberg a year later. This is due to those researchers who are working on this subject, such as Adams, Beazer, Berman, Blyth, Davey, Goldberg, Priestley, Sankappanavar and Varlet.
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| 书名 | 分配格序代数站内查询相似图书 | ||
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| 出版地 | 北京 | 出版单位 | 科学出版社 |
| 版次 | 1版 | 印次 | 1 |
| 定价(元) | 68.0 | 语种 | 英文 |
| 尺寸 | 24 × 17 | 装帧 | 精装 |
| 页数 | 310 | 印数 | |