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  2. Matematik
  3. Grupper og gruppeteori

Hypergroup Theory

Af: Violeta Leoreanu-fotea, Bijan Davvaz Engelsk Hardback

Hypergroup Theory

Af: Violeta Leoreanu-fotea, Bijan Davvaz Engelsk Hardback
Tjek vores konkurrenters priser
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.
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Tjek vores konkurrenters priser
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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 300
ISBN-13: 9789811249389
Indbinding: Hardback
Udgave:
ISBN-10: 9811249385
Kategori: Grupper og gruppeteori
Udg. Dato: 10 feb 2022
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 10 feb 2022
Forfatter(e): Violeta Leoreanu-fotea, Bijan Davvaz
Forfatter(e) Violeta Leoreanu-fotea, Bijan Davvaz

Kategori Grupper og gruppeteori

ISBN-13 9789811249389

Sprog Engelsk

Indbinding Hardback

Sider 300

Udgave

Længde 0mm

Bredde 0mm

Højde 0mm

Udg. Dato 10 feb 2022

Oplagsdato 10 feb 2022

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge