Semigroups in Complete Lattices: Quantales, Modules and Related Topics (Developments in Mathematics)
暫譯: 完全格中的半群:量子代數、模及相關主題(數學發展)

Patrik Eklund, Javier Gutiérrez García, Ulrich Höhle, Jari Kortelainen

  • 出版商: Springer
  • 出版日期: 2018-06-19
  • 售價: $4,640
  • 貴賓價: 9.5$4,408
  • 語言: 英文
  • 頁數: 326
  • 裝訂: Hardcover
  • ISBN: 3319789473
  • ISBN-13: 9783319789477
  • 海外代購書籍(需單獨結帳)

商品描述

This monograph provides a modern introduction to the theory of quantales.

First coined by C.J. Mulvey in 1986, quantales have since developed into a significant topic at the crossroads of algebra and logic, of notable interest to theoretical computer science. This book recasts the subject within the powerful framework of categorical algebra, showcasing its versatility through applications to C*- and MV-algebras, fuzzy sets and automata. With exercises and historical remarks at the end of each chapter, this self-contained book provides readers with a valuable source of references and hints for future research.

This book will appeal to researchers across mathematics and computer science with an interest in category theory, lattice theory, and many-valued logic.

商品描述(中文翻譯)

這本專著提供了量子代數(quantales)理論的現代介紹。

量子代數一詞最早由 C.J. Mulvey 在 1986 年提出,隨後發展成為代數與邏輯交匯處的一個重要主題,對理論計算機科學特別有吸引力。本書在強大的範疇代數(categorical algebra)框架內重新詮釋該主題,通過應用於 C*-代數和 MV-代數、模糊集合和自動機展示其多樣性。每章結尾附有練習題和歷史評述,這本自足的書籍為讀者提供了寶貴的參考資料和未來研究的提示。

這本書將吸引對範疇理論、格理論和多值邏輯感興趣的數學和計算機科學研究者。