Hypergroup Theory

超群理论

数学史

售   价:
799.00
发货周期:国外库房发货,通常付款后3-5周到货!
出  版 社
出版时间
2021年12月29日
装      帧
精装
ISBN
9789811249389
复制
页      码
300 pp
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 50 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
The book presents an updated study of hypergroups, being structured on 12 chapters in starting with the presentation of the basic notions in the domain: semihypergroups, hypergroups, classes of subhypergroups, types of homomorphisms, but also key notions: canonical hypergroups, join spaces and complete hypergroups. A detailed study is dedicated to the connections between hypergroups and binary relations, starting from connections established by Rosenberg and Corsini. Various types of binary relations are highlighted, in particular equivalence relations and the corresponding quotient structures, which enjoy certain properties: commutativity, cyclicity, solvability.A special attention is paid to the fundamental beta relationship, which leads to a group quotient structure. In the finite case, the number of non-isomorphic Rosenberg hypergroups of small orders is mentioned. Also, the study of hypergroups associated with relations is extended to the case of hypergroups associated to n-ary relations. Then follows an applied excursion of hypergroups in important chapters in mathematics: lattices, Pawlak approximation, hypergraphs, topology, with various properties, characterizations, varied and interesting examples. The bibliography presented is an updated one in the field, followed by an index of the notions presented in the book, useful in its study.Key Features: oThe authors of the book are expert and well known on this theory. So, most results on hypergroups are collected in this bookoThe overall aim of the book is to present an introduction to some of the results, methods and ideas about hypergroupsoThe relationships between large groups and other branches of mathematics such as topology, graph theory, combinatorics, and approximation theory are discussed
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个