| 词条 | 分配格序代数(英文版） |
| 释义 | 基本信息作者： Fang Jie 出版社：科学出版社ISBN：9787030301994 上架时间：2011-4-28 出版日期：2011 年4月 开本：16开 页码：257 版次：1-1 内容简介本书主要介绍扩张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。 目录《分配格序代数(英文版)》 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 |
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