分配格序代數

分配格序代數

《分配格序代數》是2011年科學出版社出版的圖書,作者是方捷。

基本介紹

  • 中文名:分配格序代數
  • 作者:方捷
  • 出版時間:2010年03月
  • 出版社:科學
  • 頁數:257 頁
  • ISBN:9787030301994
  • 定價:78 元
內容簡介,圖書目錄,

內容簡介

《分配格序代數(英文版)》內容簡介: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.

圖書目錄

Foreword
Preface
Chapter 1 Universal Algebra and Lattice-ordered Algebras
Chapter 2 Ockham Algebras
Chapter 3 Extended Ockham Algebras
Chapter 4 Double Ockham Algebras
Chapter 5 Pseudocomplemented and Demi-pseudocomplemented Algebras
Chapter 6 Ockham Algebras with Pseudocomplementation
Chapter 7 Ockham Algebras with Double Pseudocomplementation
Chapter 8 Ockham Algebras with Balanced Pseudocomplementation
Chapter 9 Ockham Algebras with Demi-pseudocomplementation
Chapter 10 Ockham Algebras with Balanced Demipseudocomplementation
Chapter 11 Coherent Congruences on Some Latticeordered Algebras
Chapter 12 The Endomorphism Kernel Property in Ockham
Bibliography
Notation Index
Index

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