| 000 | 02528cam a2200313 i 4500 | ||
|---|---|---|---|
| 001 | 22331377 | ||
| 003 | OSt | ||
| 005 | 20240219162028.0 | ||
| 008 | 211202s2022 njua b 001 0 eng | ||
| 010 | _a 2021057709 | ||
| 020 |
_a9789811249389 _q(hardcover) |
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| 020 |
_z9789811249396 _q(ebook for institutions) |
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| 020 |
_z9789811249402 _q(ebook for individuals) |
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| 040 |
_aDLC _beng _cDLC _erda _dDLC |
||
| 042 | _apcc | ||
| 050 | 0 | 0 |
_aQA174.2 _b.D378 2022 |
| 082 | 0 | 0 |
_a512.2 _223/eng/20220120 |
| 100 | 1 |
_aDavvaz, Bijan, _eauthor. |
|
| 245 | 1 | 0 |
_aHypergroup theory / _cBijan Davvaz, Yazd University, Iran, Violeta Leoreanu-Fotea, Alexandru Ioan Cuza University of Iasi, Romania. |
| 300 |
_aix, 289 pages : _billustrations ; _c24 cm |
||
| 504 | _aIncludes bibliographical references (pages 277-286) and index. | ||
| 520 | _a"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 | _aHypergroups. | |
| 650 | 0 | _aGroup theory. | |
| 700 | 1 |
_aLeoreanu, Violeta, _eauthor. |
|
| 906 |
_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg |
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| 942 |
_2ddc _cBK |
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| 999 |
_c28543 _d28543 |
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