Hypergroup theory / (Record no. 28543)

MARC details
000 -LEADER
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001 - CONTROL NUMBER
control field 22331377
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240219162028.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 211202s2022 njua b 001 0 eng
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER
LC control number 2021057709
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789811249389
Qualifying information (hardcover)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9789811249396
Qualifying information (ebook for institutions)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Cancelled/invalid ISBN 9789811249402
Qualifying information (ebook for individuals)
040 ## - CATALOGING SOURCE
Original cataloging agency DLC
Language of cataloging eng
Transcribing agency DLC
Description conventions rda
Modifying agency DLC
042 ## - AUTHENTICATION CODE
Authentication code pcc
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA174.2
Item number .D378 2022
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Edition number 23/eng/20220120
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Davvaz, Bijan,
Relator term author.
245 10 - TITLE STATEMENT
Title Hypergroup theory /
Statement of responsibility, etc Bijan Davvaz, Yazd University, Iran, Violeta Leoreanu-Fotea, Alexandru Ioan Cuza University of Iasi, Romania.
300 ## - PHYSICAL DESCRIPTION
Extent ix, 289 pages :
Other physical details illustrations ;
Dimensions 24 cm
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references (pages 277-286) and index.
520 ## - SUMMARY, ETC.
Summary, etc "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"--
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Hypergroups.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Group theory.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Leoreanu, Violeta,
Relator term author.
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
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