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Hazewinkel M. (ed.) — Handbook of Algebra, Volume 4
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Название: Handbook of Algebra, Volume 4Автор: Hazewinkel M. (ed.) Аннотация: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 518Добавлена в каталог: 30.06.2008Операции: Положить на полку |
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Regular element under a group action 443 Regular function 176 Regular Noetherian ring 24 Regular number 344 Regular orbit 444 Regular prime 54 Regular realization 293 295 Regular realization of a kernel 300 Regular vector 344 Regulator map 52 Reidemeister move 433 449 Reidemeister torsion 63 Reidemeister, K. 429 Relative dimension 297 Relative effective order 297 Relative limit degree 297 Relative order 297 Relatively H'-projective 68 Remainder 255 Remainder of a 305 Remainderof a 255 Renormalization in quantum field theory 230 Rentschler — Gabriel — Krull dimension 83 Rentschler, R. 79 102 Replicability 305 Representation category 209 Representation theory for Hopf algebras 185 Representation theory of finite complex reflection groups 368 Representation theory of quantum affine algebras 137 Representation theory of simple Lie algebras 112 Representation theory of twisted Yangians 146 Representation theory of Yangians 137 Representations of 158 Representations of Hecke algebras 373 Representations of T(2, 3,7) 388 Representations of the Yangian Y(2) 148 Representations of twisted Yangians 158 Representations of Yangians 158 Representative function 183 212 Resco, R. 102 Residually finite-dimensional 185 205 Residue homomorphism 412 Resolution of singularities 42 Resolution Theorem 5 24 Resolutions by free filtered difference modules 276 Resolvent 303 Resolvent, ideal 303 Restricted Lie algebra 207 Restriction homomorphism 67 Return function 81 84 94 Ribbon category 211 Ribbon Hopf algebra 190 211 Riemann surface 387 390 Riemann zeta function 51 Right adjoint action 187 Right coadjoint action 216 Right derived functor 37 273 Right Galois 201 Right H-Galois 201 Right H-Galois, extension 215 Right integral 184 Right L-Galois object 202 Right Miyashita — Ulbrich action 202 Right modular element 195 Right ordered group 441 Right smash product 205 Rigid braided tensor category 211 Rigid tensor category 209 211 Rigid triple 402 Rigidity 396 Rimanyi, R. 431 448 Ring of 268 Ring of constants 246 Ring of difference operators 268 Ring of differential operators 80 99 101 Ring of invariants 374 375 Ring of inversive 272 Ring of inversive difference operators 272 Ring of partial difference-differential polynomials 255 Ring of S-integers 45 Ring-theoretical difference Galois theory 330 Ritt 260 Ritt 261 Ritt difference ring 260 Ritt number 300 Ritt — Raudenbush theorem 260 Ritt, J.F. 243 Robson, J.C. 85 Root 340 Root for a reflection 340 Root, lattice 375 Root, system 111 115 356 374 Root, system of a Kac-Moody algebra 359 Root, vector 121 Rosenfeld, A. 243 Rost 43 Round structure 63 Rourke, C 431 448 450 S formula 220 S-excision ideal 33 s-finite 469 S-torsion 29 S-torsion, object 30 Saito, K. 444 445 Saturated W-category 20 Scheme 16 Schur, algebra 373 Schur, double centralizer theorem 221 Schur, function 117 Schur, I. 117 Schur, indicator 226 227 Schur, lemma 400 402 Schur, polynomial 117 Scott formula 397 398 408 Scott, G.P. 446 Scott, L.L. 398 Second filter inequality 80 85 97 Sedova, E.I. 474 488 Seidenberg, A. 243 Semi-simple F-algebra 28 Semisimple element of GL 340 Semisimple Hopf algebra 182 221 Semisimple triangular Hopf algebra 224 Semisolvable 224 Semistandard tableaux 117 Separable algebra 221 Separants 301 Separated ideals 261 Separated in pairs 261 Separated varieties 265 Sergiescu, V. 436 Serre subcategory 26 Set of 246 Set of constants 272 Set of parameters 298 Shape of a Young tableau 113 Sheaf 39 Sheaf on a site 39 Shephard group 364 Shephard — Todd 376 Shephard — Todd, classification 345 347 368 Shephard — Todd, classification for reflection groups 346 Shephard, G.C. 341 Shimakawa, K. 6 Shlepkin, A.K. 488 Shuffling 260 Shunkov group 469 Shunkov problem 470 Shunkov, V.P. 469 475 479 481 484 487—489 491 Sigma-notation 177 Sign character 346 370 Sign map 49 Signature defect 49 Similarity invariant 400 403 410 Simple 246 Simple algebra 81 Simple coalgebra 179 Simple difference ring 246 323 Simple group 387 Simple holonomic 92 Simple Lie algebra 111 Simple Poisson algebra 103 Simple ring 204 Simple root 123 Simple system 356 Simplicial Abelian group 43 Simplicial group 7 Simplicial identity 7 Simplicial object 5 7 Simplicial ring 7 10 Simplicial set 7 Simplicial space 7 Simplicial W-category 21 Simplicity criterion 361 Simplicity of the Chevalley groups 361 Simply connected 12 Singular braid 431 Singular braid, group 450 Singular braid, monoid 450 Singular chain complex 41 Singular component 298 Singular homology 41 Singular realization 301 Sit, W. 243 Site 38 Skew, Gelfand — Tsetlin pattern 136 Skew, group algebra 198 Skew, representations of twisted Yangians 158 Skew, symmetric form 227 Skew-primitive element 180 228 Small category 63 Smallest Hurwitz group 390 Smash coproduct 220 Smash product 193 198 205 228 Solution of a set of 253 Solution of a system of 286 Solution of a system of algebraic difference equations 286 Solution of a system of difference algebraic equations 252 Solution, field 316 318 solvable 226 Solvable by elementary operations 321 322 Somewhat commutative algebra 92 100 Sossinsky, A.B. 430 446 Soule Chern character 6 47 Soule etale Chern character 46 Soule, C. 45 46 Sozutov, A.I. 491 Space of regular orbits 444 Span S 64 Specht, E. 373 Special basis 112 Special linear group 44 Special set 292 293 Special value of the zeta function 52 Specialization 293 295 Specialization of a principal realization 300 Spectral decomposition 130 Spectral sequence 14 43 273 Spectrally complete 410 Spectrum 5 7 10 Sphere 389 Sphere, spectrum 11 Spherical triangle 388 Split algebra 37 Split exact 66 67 Splitting field 368 Splitting result 64 Sporadic simple group 361 387 Square free order 60 Stabilizer 36 443 Stable category 23 Stable derived category 5 23 Stable quasi-isomorphism 23 Standard Cartan matrix 351 Standard filtration 81 84 93 272 Standard finite-dimensional filtration 84 95 Standard generator 306 Standard graded algebra 282 Standard p-dimensional filtration 276 Standard ranking 254 257 Standard tableau 114 Statistical mechanics 175 Steenrod algebra 455 Steinberg group 12 Steinberg symbol 34 38 Steinberg theorem 362 Steinberg, R. 342 344 369 403 Stepwise compatibility condition 308 Strength 286 Strength of a system of difference equations 287 Strength of a system of equations in finite differences 286 Strictly real 484 Strings of a braid 431 Strodt, W. 243 Strongly embedded 486 Strongly graded 201 Strongly normal extension 323 Strongly separated 261 Strongly separated in pairs 261 Strongly simple Poisson algebra 103 Structure group 8 Strunkov, S.P. 479 Sub-reflection datum 343 Subcoalgebra 455 Subindexing 291 292 Substitution 251 Suchkova, N.G. 488 Summit set 441 Super Mickelsson—Zhelobenko algebra 136 Superalgebra 215 Superposition of functions 430 Suslin, A.A. 38 Suspension spectrum 11 Swan K-theory 11 Swan — Gersten K-theory 12 Swan, R.G. 5 Sweedler Hopf algebra 183 218 228 Sweedler, M.E. 177 Sylow, 2-subgroup 485 Sylow, p-subgroup 58 Sylow, subgroup 472 476 Sylow, theorem 344 Sylow, theory 344 Sylow, torus 344 345 Sylvester theorem 136 Symbols in arithmetic 34 Symmetric algebra 340 Symmetric bicharacter 190 Symmetric form 227 Symmetric genus 397 Symmetric group 113 345 434 444 Symmetric group, relations 448 Symmetric Martindale ring of quotients 207 Symmetric monoidal category 5 18 Symmetric polynomial 117 Symmetric power 340 Symmetric rigid tensor structure 211 Symmetric structure 210 Symmetrizable 359 Symmetrizable, Cartan matrix 359
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