000 | 05809nam a2200721 i 4500 | ||
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001 | 9780750326483 | ||
003 | IOP | ||
005 | 20230516170305.0 | ||
006 | m eo d | ||
007 | cr bn |||m|||a | ||
008 | 220705s2022 enka fob 000 0 eng d | ||
020 |
_a9780750326483 _qebook |
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020 |
_a9780750326476 _qmobi |
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020 |
_z9780750326469 _qprint |
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020 |
_z9780750326490 _qmyPrint |
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024 | 7 |
_a10.1088/978-0-7503-2648-3 _2doi |
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035 | _a(CaBNVSL)thg00083288 | ||
035 | _a(OCoLC)1336503003 | ||
040 |
_aCaBNVSL _beng _erda _cCaBNVSL _dCaBNVSL |
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050 | 4 |
_aQA162 _b.D877 2022eb |
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072 | 7 |
_aPBU _2bicssc |
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072 | 7 |
_aMAT002010 _2bisacsh |
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082 | 0 | 4 |
_a512/.02 _223 |
100 | 1 |
_aDupli�i, Stepan, _eauthor. _970738 |
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245 | 1 | 0 |
_aPolyadic algebraic structures / _cSteven Duplij. |
264 | 1 |
_aBristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : _bIOP Publishing, _c[2022] |
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300 |
_a1 online resource (various pagings) : _billustrations. |
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336 |
_atext _2rdacontent |
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337 |
_aelectronic _2isbdmedia |
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338 |
_aonline resource _2rdacarrier |
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490 | 1 | _a[IOP release $release] | |
490 | 1 | _aIOP ebooks. [2022 collection] | |
500 | _a"Version: 20220601"--Title page verso. | ||
504 | _aIncludes bibliographical references. | ||
505 | 0 | _apart 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 | _a2. 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 | _a3. 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 | _a4. 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 | _apart 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 | _a6. Polyadic inner spaces and operators -- 6.1. Polyadic inner pairing spaces and norms -- 6.2. Elements of polyadic operator theory | |
505 | 8 | _a7. 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 | _a8. 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 | _apart 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 | _a10. 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 | _apart 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 | _aThe book is devoted to the thorough study of polyadic (higher arity) algebraic structures, which has a long history, starting from 19th century. | |
521 | _aComputational physics, theoretical physics, mathematicians. | ||
530 | _aAlso available in print. | ||
538 | _aMode of access: World Wide Web. | ||
538 | _aSystem requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
545 | _aSteven 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 | _aTitle from PDF title page (viewed on July 5, 2022). | |
650 | 0 |
_aAlgebra, Abstract. _920960 |
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650 | 0 |
_aPolyadic algebras. _970739 |
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650 | 7 |
_aOptimization. _2bicssc _970740 |
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650 | 7 |
_aMathematics and computation. _2bisacsh _970439 |
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710 | 2 |
_aInstitute of Physics (Great Britain), _epublisher. _911622 |
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776 | 0 | 8 |
_iPrint version: _z9780750326469 _z9780750326490 |
830 | 0 |
_aIOP (Series). _pRelease 22. _970741 |
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830 | 0 |
_aIOP ebooks. _p2022 collection. _970742 |
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856 | 4 | 0 | _uhttps://iopscience.iop.org/book/978-0-7503-2648-3 |
942 | _cEBK | ||
999 |
_c82897 _d82897 |