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Book: Algebraic Logic, Quantum Algebra and Algebraic Mathematics
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Algebraic Logic, Quantum Algebra and Algebraic Mathematics
Authors: Bci2 et al.
Uploaded by:
bci1
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- Comments:
- 409 pages, 23Mb PDF, 2010
- Abstract:
- Contents
Articles
Algebraic Logic, Quantum Logic, Quantum Algebra, Algebra, Algebraic
Geometry, Algebraic Topology, Category Theory and Higher Dimensional
Algebra v.2min 1
Boolean logic 1
Intuitionistic logic 7
Heyting arithmetic 13
Algebraic Logic and Many-Valued Logic 14
Algebraic logic 14
Lukasiewicz logic 16
Ternary logic 18
Multi-valued logic 21
Mathematical logic 24
Symbolic logic 37
Metalogic 37
Metatheory 40
Metamathematics 41
Abstract Algebra 43
Abstract algebra 43
Universal algebra 46
Heyting algebra 50
MV-algebra 58
Group theory 60
Abelian group 68
Group algebra 75
Cayley's theorem 77
Special Algebras, Operator Algebra and Quantum Algebra 80
Lie algebra 80
Lie group 85
Affine Lie algebra 94
Kac--Moody algebra 96
Hopf algebra 99
Quantum group 104
Affine quantum group 111
Group representation 112
Unitary representation 115
Representation theory of the Lorentz group 117
Stone--von Neumann theorem 121
Peter-Weyl theorem 126
Quantum algebra 128
Quantum affine algebra 129
Clifford algebra 130
Von Neumann algebra 140
C*-algebra 150
Quasi-Hopf algebra 155
Quasitriangular Hopf algebra 156
Ribbon Hopf algebra 157
Quasi-triangular Quasi-Hopf algebra 158
Quantum inverse scattering method 159
Grassmann algebra 160
Supergroup 174
Superalgebra 174
Algebroid 177
Algebraic Geometry 178
Algebraic geometry 178
List of algebraic geometry topics 186
Duality (projective geometry) 191
Universal algebraic geometry 197
Motive (algebraic geometry) 197
Grothendieck-“Hirzebruch-“Riemann-“Roch theorem 204
Coherent sheaf 206
Grothendieck topology 208
Crystalline cohomology 214
De Rham cohomology 218
Algebraic geometry and analytic geometry 221
Riemannian manifold 224
List of complex analysis topics 229
Algebraic Topology and Groupoids 232
Algebraic topology 232
Groupoid 236
Galois group 241
Grothendieck group 242
Esquisse d'un Programme 245
Galois theory 247
Grothendieck's Galois theory 253
Galois cohomology 254
Homological algebra 255
Homology theory 259
Homotopical algebra 262
Cohomology theory 263
K-theory 266
Algebraic K-theory 268
Topological K-theory 273
Category Theories 275
Category theory 275
Category (mathematics) 282
Glossary of category theory 287
Dual (category theory) 289
Abelian category 290
Yoneda lemma 293
Limit (category theory) 296
Adjoint functors 305
Natural transformations 319
Algebraic category 322
Domain theory 324
Enriched category theory 328
Topos 331
Descent (category theory) 336
Stack (descent theory) 338
Categorical logic 339
Timeline of category theory and related mathematics 342
List of important publications in mathematics 360
Higher Dimensional Algebras (HDA) 383
Higher-dimensional algebra 383
Higher category theory 387
Duality (mathematics) 389
References
Article Sources and Contributors 398
Image Sources, Licenses and Contributors 403
Article Licenses
License 404
- Rights:
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open access
http://en.wikipedia.org/w/index.php?title=Special:Book&bookcmd=download&collection_id=6939948e69cb91c6&writer=rl&return_to=User%3ABci2%2FBooks%2FAlgebra
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