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Polyadic algebraic structures / (Record no. 82897)

000 -LEADER
fixed length control field 05809nam a2200721 i 4500
001 - CONTROL NUMBER
control field 9780750326483
003 - CONTROL NUMBER IDENTIFIER
control field IOP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230516170305.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m eo d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr bn |||m|||a
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220705s2022 enka fob 000 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750326483
Qualifying information ebook
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780750326476
Qualifying information mobi
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750326469
Qualifying information print
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780750326490
Qualifying information myPrint
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1088/978-0-7503-2648-3
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (CaBNVSL)thg00083288
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1336503003
040 ## - CATALOGING SOURCE
Original cataloging agency CaBNVSL
Language of cataloging eng
Description conventions rda
Transcribing agency CaBNVSL
Modifying agency CaBNVSL
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA162
Item number .D877 2022eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBU
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT002010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512/.02
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Dupli�i, Stepan,
Relator term author.
9 (RLIN) 70738
245 10 - TITLE STATEMENT
Title Polyadic algebraic structures /
Statement of responsibility, etc. Steven Duplij.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
Name of producer, publisher, distributor, manufacturer IOP Publishing,
Date of production, publication, distribution, manufacture, or copyright notice [2022]
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (various pagings) :
Other physical details illustrations.
336 ## - CONTENT TYPE
Content type term text
Source rdacontent
337 ## - MEDIA TYPE
Media type term electronic
Source isbdmedia
338 ## - CARRIER TYPE
Carrier type term online resource
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement [IOP release $release]
490 1# - SERIES STATEMENT
Series statement IOP ebooks. [2022 collection]
500 ## - GENERAL NOTE
General note "Version: 20220601"--Title page verso.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc. note Includes bibliographical references.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note part I. One-set polyadic algebraic structures. 1. One-set algebraic structures and Hossz�u-Gluskin theorem -- 1.1. General properties of one-set one-operation polyadic structures -- 1.2. Polyadic semigroups, quasigroups and groups -- 1.3. Polyadic direct products and changed arity powers -- 1.4. The deformed Hossz�u-Gluskin theorem -- 1.5. Polyadic analog of Grothendieck group
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2. Representations and heteromorphisms -- 2.1. Homomorphisms of one-set polyadic algebraic structures -- 2.2. Heteromorphisms of one-set polyadic algebraic structures -- 2.3. Hetero-covering of algebraic structures -- 2.4. Multiplace representations of polyadic algebraic structures -- 2.5. k-Place actions
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 3. Polyadic semigroups and higher regularity -- 3.1. Generalized q-regular elements in semigroups -- 3.2. Higher q-inverse semigroups -- 3.3. Higher q-inverse polyadic semigroups -- 3.4. Polyadic-binary correspondence, regular semigroups, braid groups
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4. Polyadic rings, fields and integer numbers -- 4.1. One-set polyadic 'linear' structures -- 4.2. Polyadic direct products of rings and fields -- 4.3. Polyadic integer numbers -- 4.4. Finite polyadic rings of integers -- 4.5. Finite polyadic fields of integer numbers -- 4.6. Diophantine equations over polyadic integers and Fermat's theorem
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note part II. Two-sets polyadic algebraic structures. 5. Polyadic algebras and deformations -- 5.1. Two-set polyadic structures -- 5.2. Mappings between polyadic vector spaces -- 5.3. Polyadic associative algebras
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6. Polyadic inner spaces and operators -- 6.1. Polyadic inner pairing spaces and norms -- 6.2. Elements of polyadic operator theory
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7. Medial deformation of n-ary algebras -- 7.1. Almost commutative graded algebra -- 7.2. Almost medial graded algebras -- 7.3. Medial n-ary algebras -- 7.4. Almost medial n-ary graded algebras -- 7.5. Toyoda's theorem for almost medial algebras
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 8. Membership deformations and obscure n-ary algebras -- 8.1. Graded algebras and Shur factors -- 8.2. Membership function and obscure algebras -- 8.3. Membership deformation of commutativity -- 8.4. Projective representations -- 8.5. n-ary double commutative algebras -- 8.6. Conclusions
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note part III. Polyadic quantum groups. 9. Polyadic Hopf algebras -- 9.1. Polyadic coalgebras -- 9.2. Polyadic bialgebras -- 9.3. Polyadic Hopf algebras -- 9.4. Ternary examples -- 9.5. Polyadic almost co-commutativity and co-mediality
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 10. Solutions to higher braid equations -- 10.1. Yang-Baxter operators -- 10.2. Polyadic braid operators and higher braid equations -- 10.3. Solutions to the ternary braid equations
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note part IV. Polyadic categories. 11. Polyadic tensor categories -- 11.1. Binary tensor categories -- 11.2. Polyadic tensor categories -- 11.3. Polyadic units, unitors and quertors -- 11.4. Braided tensor categories -- 11.5. Medialed polyadic tensor categories -- 11.6. Conclusions.
520 3# - SUMMARY, ETC.
Summary, etc. The book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century.
521 ## - TARGET AUDIENCE NOTE
Target audience note Computational physics, theoretical physics, mathematicians.
530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE
Additional physical form available note Also available in print.
538 ## - SYSTEM DETAILS NOTE
System details note Mode of access: World Wide Web.
538 ## - SYSTEM DETAILS NOTE
System details note System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
545 ## - BIOGRAPHICAL OR HISTORICAL DATA
Biographical or historical data Steven Duplij (Stepan Douplii) is a theoretical and mathematical physicist from the University of M�unster, Germany. Dr. Duplij is the editor-compiler of 'Concise Encyclopaedia of Supersymmetry' (2005, Springer), and is the author of more than a hundred scientific publications and several books. His scientific directions include supersymmetry and quantum groups, advanced algebraic structures, gravity and nonlinear electrodynamics, constrained systems and quantum computing.
588 0# - SOURCE OF DESCRIPTION NOTE
Source of description note Title from PDF title page (viewed on July 5, 2022).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebra, Abstract.
9 (RLIN) 20960
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Polyadic algebras.
9 (RLIN) 70739
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Optimization.
Source of heading or term bicssc
9 (RLIN) 70740
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Mathematics and computation.
Source of heading or term bisacsh
9 (RLIN) 70439
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element Institute of Physics (Great Britain),
Relator term publisher.
9 (RLIN) 11622
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9780750326469
-- 9780750326490
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP (Series).
Name of part/section of a work Release 22.
9 (RLIN) 70741
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title IOP ebooks.
Name of part/section of a work 2022 collection.
9 (RLIN) 70742
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://iopscience.iop.org/book/978-0-7503-2648-3">https://iopscience.iop.org/book/978-0-7503-2648-3</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks

No items available.