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| Hazewinkel M. — Handbook of Algebra (part 2) |
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| Предметный указатель |
Reduced homology group 763
Reduced lefschetz invariant 766
Reduced module 189
Reduced richman type 685
Reduced ring 325 402 429 450
Reduced set in l(x) 596
Reduced simplicial cochain complex 260
Reduced symplicial chain complex 260
Reduction free normalization 8 15 29
Reductive group 389
Reductive Lie algebra 631
refinement 671
Reflexive abelian group 691
Reflexive algebra 178
Reflexive azumaya algebra 477
Reflexive brauer group 477
Reflexive graded azumaya algebra 479
Reflexive object 45
Reflexive operator algebra 156
Regular direct sum 671
Regular element 369 424 522
Regular graded ring 476
Regular group 307
Regular in codimension n 476
Regular map 327
Regular module 446
Regular morphism 335
Regular representation of ![$u_q(su_[,]$](/math_tex/6d2d326f18eb302dcb667ba6ebf4403582.gif) 717
Regular ring 381 402 408 441 446 600
Regular subgroup 695
Regular type 307
Regular vector 522
Regular word 590
Reiner, I. 761 763
Relational algebra 81 93 94 129
Relational algebra in intuitionistic logic 96
Relational algebra of first-order calculus 94
Relational composition 47
Relational database 97
Relational db 81 82 97 130
Relational model of ll 53
Relational parametricity 43
Relational semantics of dataflow languages 41
Relative cochain 219
Relative cohomology 219 229
Relative freeness 389
Relative homology 166
Relative projectivity 807 811
Relative trace 831
Relative trace map 758
Relatively definable 287
Relatively free 550
Relatively free algebra 392 550 602
Renault, G. 368 381
Replica complete 548
Reply to a query 123
Representable numerical total function 18
Representation 142
Representation of a g-graded algebra 583
Representation theorem 54 55
Representation theorems for proofs 54
Representation theory 158
Representation theory of finite groups 463
Residual finiteness 609
Residually finite 607
Residually nilpotent 587
Residually nilpotent lie superalgebra 587
Residually small variety 556
Residually small variety of semigroups 573
Residuated category 47
Resolution 195
Resolution of a mackey functor 807
Resolvable 347
Resource allocation 49
Resource sensitivity 50
Restricted colour lie superalgebra 585
Restricted enveloping algebra 586
Restricted Lie algebra 586
Restricted lie superalgebra 585
Restricted pbw-theorem 586
Restricted representation 586
Restriction 774
Restriction functor 742
Restriction homomorphism 746
Restriction of g-sets 811
Restriction of mackey functors 811
Restriction of scalars functor 465
Restriction operation 807
retract 167
Retract of a free banach a-module 167
Retraction 166
Reversed algebra 155
Rewriting rules 34
Rewriting theory of lambda calculi 29
Reynolds parametricity 42 43
Reynolds, J. 23 36 37 42 43
Richardson, R.W. 517
Richman type 685
Richman, F. 682 699
Rickartian module 402
Rieffel, m. 172
Right adjoint functor 811
Right alternative algebra 558
Right annihilator 402 419 425
Right b.a.i. 184
Right bezout ring 406
Right biserial ring 419
Right bounded approximate identity 167
Right denominator set 404 423
Right diserial ring 419
Right engel 290
Right exact functor 465 466
Right generic 293
Right hermitian ring 402
Right identity 184
Right invariant ring 420 448
Right krull dimension 425
Right localizable ring 404 423
Right nonsingular 432
Right p-exchange property 446
Right quasi-invariant 406
Right quasi-invariant ring 448
Right ring of quotients 404 420 423
Right semiuniform ring 420
Right stabilizer 294
Right T-nilpotent 446
Rigid 226
Rigid algebra 226
Rigid Lie algebra 655
Rigid lie algebra law 517
Ring algebraic over its centre 402
Ring integral over its centre 402
Ring language. 281
Ring of  -adic numbers 684
Ring of algebraic integers 401
Ring of bounded index 446
Ring of index at most 446
Ring of integers 463
Ring of quasi-endomorphisms 689
Ring of quotients 379 404 405 424
Ring of quotients, two-sided 408
Ring of universal integers 684
Ring of universal numbers 684 696
Ring with the right p-exchange property 446
Ringrose, J.R. 153 161 186 228 229 231
rm 284
Rm( ) 285
Robinson, e. 24
Rochberg, R. 227
Rokhlina, v.s. 699 701
| Romanovsky, n. 572
Root 645
Root of a semisimple Lie algebra 645
Rosolini, p. 24
Rosso, m. 709
Rotational spectra of nuclei 709
Rotman, J. 682
Rotthaus, c. 335
Rowen approach 374
Rowen, l. 374 375
Ruan,z.-j. 230 239
Runde, V. 192
R[outg]-module 828
S mackey, g.w. 675 681
s(A) 234 283
S(R) 482
S-algebra 390 3955
S-comparability 448
s-identity 569
S-regular word 590
S-relative cochain 219
S-relative n-dimensional cohomology group 2195
S-special monomial 593
Sabadini, n. 60
Sakai characterisation of von neumann algebras 162
Sakai, S. 177
Salce, l. 678 694
Saletan, e. 517
Sanov, i. 571
Santharoubane, l. 649
SAP 331
Sap function 332
Sasiada, e. 689
Saturated 283
Saturated relation 42
Saturated structure 283
Satured formation 305
Scedrov, a. 24 68
Schatten — von neumann duality 161
Schelter integral 364
Scheme 88
Scheunert, M. 582
Schoeman, m.j. 693 695
Schofield, a.h. 391
Schonfinkel 25
Schreier formula 597
Schultz, P. 688 692
Schur algebra 482 485
Schur group conjecture 485
Schur subgroup 463 482
Schur theorem 394
Schwanzl, r. 763
Schwichtenberg, H. 29
Scott — strachey approach 25
Scott, D. 5 24—26 33 46 82 134
Scott, p.j. 67
Sebel'din. a.m. 689 691
Second invariant of a direct sum of forsion complete  -group 683
Second order  equations 21
Second order polymorphic lambda calculus 20
Second order- 21
Second prufer theorem 674
Second-order logic 43
Section of a group 827
Seely, R. 24 48 52
Segal conjecture 741 797 832
Self-application 26
Self-injective algebra 600 821
Self-injective ring 368
Self-normalizing nilpotent subgroup 305
Selfinjective rings of endomorphisms 688
Selfsmall 690
Selfsmall torsion group 690
Selivanov, Yu.V. 154 169 183 191 192 246—249 253 255
Semantics modeling problems 82
Semantics of local variable 36
Semantics of programming languages 7 23 25
Semantics of typed lambda calculus 27
Semi-invariant ring 422
Semi-t-nilpotent 444
Semidirect products 587
Semidistributive module 419 449
Semidistributive ring 419
Semigroup 86
Semigroup of endomorphisms 86
Semihereditary module 402 420
Semilattice 408
Semilocal ring 450
Semiperfect right noetherian ring 420
Semiperfect ring 419
Semiprime ring 361 420 425 442
Semiregular ring 402 441
Semisimple lie superalgebra 588
Sentence 281
Separability 463
Separability idempotent 465
Separability over a commutative ring 465
Separable -group 674
Separable abelian group 682
Separable algebra 463
Separable algebra over its centre 463
Separable functor 463
Separable torsion-free group 679
Separably closed field 280 308 312
Separately continuous 158
Sequence algebra 249
Sequences of types 15
Sequent 48
Sequent calculus 47
Sequent calculus proof 48
Sequential computation 52
Sequentiality 66
Serial artinian ring 419 420
Serial module 419
Serial non-artinian ring 419
Serial right noetherian ring 401 420
Serial ring 420
Serial semiprime ring 420
Serre global sections theorem 481
Serre quotient category 463
Serre relations 723
Serre subcategory 481
Set 7
Set of defining relations 672
Set of generators 670
Set theory 24 249
Setniprimiiive ring 442
Shack, d. 235
Sheaf theory 216
Sheaves category of- 7
Sheinberg theorem 254
Sheinberg, M.V. 186 254
Shelah rank 284
Shelah, S. 279 672 676 677 679 694 701
Shephard — Todd theorem 391
Shestakov, i. 560 568 569
Shift operator 26
Shilov boundary 168 245
Shirshov finite 366
Shirshov finiteness 366 370 383
Shirshov finiteness theorem 376
Shirshov theorem on heights 567
Shirshov, a. 366 567 569 589 594 595
Short exact sequence 157 674
Shuffle hopf algebra 58
Sieber, k. 28
Sill algebra of first kind 630
Sill algebra of g 630
Sill algebra of second kind 630
Similar active databases 117
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