ring conditions (factorial, Cohen - Macaulay, seminormal) # varieties defined by
14M05
ring extensions and related topics
13Bxx
ring geometry (Hjelmslev, Barbilian, etc.)
51C05
ring of quotients, torsion theories, radicals on module categories # maximal
16S90
ring spectra, etc.) # spectra with additional structure ($E_\infty$, $A_\infty$,
55P43
ring theory # general commutative
13Axx
ring), analytic spread and related topics # associated graded rings of ideals (Rees ring, form
13A30
ring, form ring), analytic spread and related topics # associated graded rings of ideals (Rees
13A30
ring-theoretic aspects of quantum groups
16W35
ring-theoretic properties
06E20
rings # $(\gamma,\delta)$-rings, including $(1,-1)$-
17D20
rings # $K_0$ of other
19A49
rings # $L$-theory of group
19G24
rings # algebraic theory of quadratic forms; Witt groups and
11E81
rings # alternative
17D05
rings # analytical algebras and
13J07
rings # arithmetic rings and other special
13Fxx
rings # Chow groups and
14C15
rings # computational aspects of associative
16Z05
rings # computations of higher $K$-theory of
19D50
rings # deformations of
16S80
rings # division rings and semisimple Artin
16Kxx
rings # endomorphism rings; matrix
16S50
rings # excellent
13F40
rings # finite commutative
13Mxx
rings # formal power series
13F25
rings # Frobenius induction, Burnside and representation
19A22
rings # general nonassociative
17Axx
rings # general radicals and
16N80
rings # global topological
13J20
rings # graded
13A02
rings # group
16S34
rings # Henselian
13J15
rings # Hermitian $K$-theory, relations with $K$-theory of
19G38
rings # identities other than those of matrices over commutative
16R40
rings # injective modules, self-injective
16D50
rings # invariants of analytic local
32S10
rings # local rings and semilocal
13Hxx
rings # localization and Noetherian
16P50
rings # nil and nilpotent radicals, sets, ideals,
16N40
rings # noncommutative local and semilocal rings, perfect
16L30
rings # ordered
13J25
rings # ordinary and skew polynomial rings and semigroup
16S36
rings # other matrix groups over
20H25
rings # polynomials over commutative
13B25
rings # power series
13J05
rings # power-associative
17A05
rings # prime and semiprime
16N60
rings # principal ideal
13F10
rings # quasi-Frobenius
16L60
rings # radicals and radical properties of
16Nxx
rings # regular local
13H05
rings # representations of Artinian
16G10
rings # representations of Lie and linear algebraic groups over global fields and ad\`ele
22E55
rings # representations of orders, lattices, algebras over commutative
16G30
rings # right alternative
17D15
rings # rings of functions, subdirect products, sheaves of
16S60
rings # semigroup rings, multiplicative semigroups of
20M25
rings # seminormal
13F45
rings # semiprime p. i. rings, rings embeddable in matrices over commutative
16R20
rings # singularities, local
14H20
rings # skew fields, division
12E15
rings # token
C.2.5.f
rings # valuation
13F30
rings # Witt groups of
19G12
rings # Witt vectors and related
13K05
rings (catenary, etc.) # dimension theory, depth, related
13C15
rings (except as in 16Kxx) # infinite-dimensional simple
16D30
rings (generalizations of regular, Gorenstein, Cohen - Macaulay rings, etc.) # homological conditions on
16E65
rings (Japanese, etc.) # integral closure of rings and ideals; integrally closed rings, related
13B22
rings (number-theoretic aspects) # finite fields and commutative
11Txx
rings (quaternions, finite fields, etc.) # matrices over special
15A33
rings and algebras # $T$-ideals, identities, varieties of
16R10
rings and algebras # associative
16-XX
rings and algebras # commutative
13-XX
rings and algebras # Malcev (Maltsev)
17D10
rings and algebras # nonassociative
17-XX
rings and algebras # other nonassociative
17Dxx
rings and algebras # representation theory of
16Gxx
rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) # (Co)homology of
16E40
rings and algebras (e.g., Hochschild, Andr\'e - Quillen, cyclic, dihedral, etc.) # (co)homology of commutative
13D03
rings and algebras arising under various constructions
16Sxx
rings and algebras of continuous, differentiable or analytic functions
46E25
rings and algebras with additional structure
16Wxx
rings and algebras, Banach algebras # topological algebras, normed
46Hxx
rings and fields # quadratic forms over global
11E12
rings and fields # quadratic forms over local
11E08
rings and finite-dimensional algebras # finite
16P10
rings and generalizations # Euclidean
13F07
rings and generalizations # local
16Lxx
rings and generalizations # von_Neumann regular
16E50
rings and groups # adele
11R56
rings and ideals # simple and semisimple modules, primitive
16D60
rings and ideals; integrally closed rings, related rings (Japanese, etc.) # integral closure of
13B22
rings and ideals; rings of integer-valued polynomials # polynomial
13F20
rings and invariant theory # trace
16R30
rings and modules # Artinian
16P20
rings and modules # graded
16W50
rings and modules # Noetherian
13E05
rings and modules # Noetherian
16P40
rings and modules # topological
13Jxx
rings and modules # topological and ordered
16W80
rings and modules of finite generation or presentation; number of generators
13E15
rings and modules, finite-dimensional algebras # Artinian
13E10
rings and orders # $K_0$ of group
19A31
rings and orders # $K_1$ of group
19B28
rings and other special rings # arithmetic
13Fxx
rings and schemes # linear algebraic groups over ad\`eles and other
20G35
rings and semigroup rings # ordinary and skew polynomial
16S36
rings and semilocal rings # local
13Hxx
rings and semisimple Artin rings # division
16Kxx
rings and their generalizations # Dedekind, Pr\"ufer and Krull
13F05
rings and) algebras with an involution # topological (
46Kxx
rings arising from non-commutative algebraic geometry
16S38
rings by ideals # extensions of
16S70
rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.)
16S10
rings embeddable in matrices over commutative rings # semiprime p. i. rings,
16R20
rings in one or more variables # matrices over function
15A54
rings of algebraic integers # algebraic numbers;
11R04
rings of differential operators
16S32
rings of differential operators and their modules
13N10
rings of finite groups and their modules # group
20C05
rings of functions, subdirect products, sheaves of rings
16S60
rings of ideals (Rees ring, form ring), analytic spread and related topics # associated graded
13A30
rings of infinite groups and their modules # group
20C07
rings of integer-valued polynomials # polynomial rings and ideals;
13F20
rings of integers # integral representations related to algebraic numbers; Galois module structure of
11R33
rings over finite fields # arithmetic theory of polynomial
11T55
rings with involution: Lie, Jordan and other nonassociative structures
16W10
rings with polynomial identity
16Rxx
rings with straightening laws, Hodge algebras
13F50
rings) # Boolean algebras (Boolean
06Exx
rings) # Galois theory (commutative
13B05
rings, algebras, modules # ordered
06F25
rings, completion # complete
13J10
rings, crossed products # twisted and skew group
16S35
rings, etc. # semihereditary and hereditary rings, free ideal rings, Sylvester
16E60
rings, etc. # topological fields,
54H13
rings, etc.) # homological conditions on rings (generalizations of regular, Gorenstein, Cohen - Macaulay
16E65
rings, etc.) # rods (beams, columns, shafts, arches,
74K10
rings, etc.), measurable sets, Suslin sets, analytic sets # classes of sets (Borel fields, $\sigma$-
28A05
rings, free ideal rings, Sylvester rings, etc. # semihereditary and hereditary
16E60
rings, including $(1,-1)$-rings # $(\gamma,\delta)$-
17D20
rings, measure algebras # measures on Boolean
28A60
rings, multiplicative semigroups of rings # semigroup
20M25
rings, multiplicative sets, \Ore localization # \Ore
16U20
rings, perfect rings # noncommutative local and semilocal
16L30
rings, related rings (Japanese, etc.) # integral closure of rings and ideals; integrally closed
13B22
rings, rings embeddable in matrices over commutative rings # semiprime p. i.
16R20
rings, Sylvester rings, etc. # semihereditary and hereditary rings, free ideal
16E60
rings, unique factorization domains # factorial
13F15
rings; filtrational and graded techniques # filtered
16W70
rings; invariant theory # actions of groups on commutative
13A50
rings; matrix rings # endomorphism
16S50
rings; simplicial complexes # Face and Stanley - Reisner
13F55
RISC, CISC, VLIW) # instruction set design (e.g.,
C.0.-.b
risc/cisc, vliw architectures
C.1.1.c
risk theory, insurance
91B46
Ritz and Galerkin methods, finite methods # finite elements, Rayleigh -
65M60
Ritz and Galerkin methods, finite methods # finite elements, Rayleigh -
65N30
Ritz types # methods of Newton - Raphson, Galerkin and
49M15
Ritz, Galerkin and collocation methods # finite elements, Rayleigh -
65L60
robot dynamics and control
70E60
robotics
I.2.9
robotics
68T40
robots # mechanisms,
70B15
robots and applications # commercial
I.2.9.b
robots, etc.) # automated systems (
93C85
robust design, computer-aided design, etc.) # design techniques (
93B51
robust parameter designs
62K25
robust regression
G.3.-.m
robust stability
93D09
robust stabilization # adaptive or
93D21
robustness
62G35
robustness # reliability and
G.4.-.g
robustness and adaptive procedures
62F35
robustness) # sensitivity (
93B35
Roch theorems # Riemann -
14C40
Roch theorems, Chern characters # Riemann -
19L10
rock mechanics # soil and
74L10
rockets # variable mass,
70P05
rods (beams, columns, shafts, arches, rings, etc.)
74K10
role in student learning, use of tools by teachers, etc.) # technological tools and other materials in teaching and learning (research on innovations,
97C80
ROM) # read-only memory (
B.3.1.b
Roman # Greek,
01A20
Room squares # orthogonal arrays, Latin squares,
05B15
root systems # basic hypergeometric functions associated with
33D67
root systems # hypergeometric functions associated with
33C67
root systems # orthogonal polynomials and functions associated with
33C52
root systems (Macdonald polynomials, etc.) # basic orthogonal polynomials and functions associated with
33D52
roots of nonlinear equations
G.1.5
roots) # simple, semisimple, reductive (super)algebras (
17B20
roots; residue systems # congruences; primitive
11A07
Rosinger, Colombeau, nonstandard, etc.) # generalized functions for nonlinear analysis (
46F30
Rossby waves
76B65
rotating fluids
76U05
rotation
76E07
rotation domains and linearization; Fatou and Julia sets # small divisors,
37F50
rotation numbers and vectors
37E45
rotation, etc.) # special classes of univalent and multivalent functions (starlike, convex, bounded
30C45
roundoff error
65G50
routers
C.2.6.a
routing # placement and
B.7.2.c
routing and layout
F.2.2.e
routing protocols
C.2.2.d
RSA) # standards (e.g., DES, PGP,
E.3.-.d
Ruelle - Frobenius) transfer operators, and other functional analytic techniques in dynamical systems # zeta functions, (
37C30
rule-based databases
H.2.4.h
rule-based) # deduction (e.g., natural,
I.2.3.b
rule-based) # representations (procedural and
I.2.4.f
ruled surfaces # rational and
14J26
run-time environments
D.3.4.k
Runge - Kutta and extrapolation methods # multistep,
65L06
Runge pairs, interpolation # holomorphic and polynomial approximation,
32E30
safety # human
K.4.1.d
Saint-Venant's principle
74G50
Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.)
46A70
Salpeter and other integral equations # Bethe -
81Q40
same section # none of the above, but in the
34M99
sample path properties
60G17
sample surveys # sampling theory,
62D05
sampled-data systems
93C57
sampling
I.4.1.f
sampling theory
94A20
sampling theory, sample surveys
62D05
Samuel and Hilbert - Kunz functions; Poincar\'e series # Hilbert -
13D40
Sasakian, etc.) # special Riemannian manifolds (Einstein,
53C25
satellites # derived functors and
18E25
satisfying other identities # algebras
17A30
saturated, rigid, etc.) # models with special properties (
03C50
saturation
41A40
scalar and vector Lyapunov functions
93D30
scale assessment, validity, reliability, etc.) # assessment (large
97C40
scale integration) # vlsi (very large
B.7.1.h
scale methods # multiple
34E13
scale systems # large
93A15
scaling # matrix norms, conditioning,
65F35
scaling # one- and multi-dimensional
91C15
scaling ($q$-differences) # difference equations,
39A13
scanning
I.4.1.g
scanning
I.7.5.d
scanning # digitizing and
I.3.3.c
scattered spaces
54G12
scattering # diffraction,
78A45
scattering # wave
74J20
scattering methods # integration of completely integrable systems by inverse spectral and
37K15
scattering problems # inverse
81U40
scattering theory
34L25
scattering theory
47A40
scattering theory
81Uxx
scattering theory # $2$-body potential
81U05
scattering theory # $n$-body potential
81U10
scattering theory # spectral problems; spectral geometry;
58J50
scattering theory for PDE
35P25
scattering, nonlinear interaction # water waves, gravity waves; dispersion and
76B15
scene analysis
I.4.8
scene analysis # 3D/stereo
I.2.10.a
scene understanding # machine vision and
68T45
scene understanding # vision and
I.2.10
Schatten - von_Neumann classes, etc.) # operators belonging to operator ideals (nuclear, $p$-summing, in the
47B10
schedules) # time management (e.g., calendars,
H.4.1.e
scheduling
D.4.1.e
scheduling
I.2.8.g
scheduling # performance evaluation; queueing;
68M20
scheduling # sequencing and
F.2.2.f
scheduling theory, deterministic
90B35
scheduling theory, stochastic
90B36
schema and subschema
H.2.1.c
scheme, etc.) # orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey
33C45
schemes # $K$-theory of
19E08
schemes # Abelian varieties and
14Kxx
schemes # access
C.2.5.a
schemes # Brauer groups of
14F22
schemes # general perturbation
70K60
schemes # group
14L15
schemes # linear algebraic groups over ad\`eles and other rings and
20G35
schemes # nonsecret encoding
E.4.-.d
schemes # payment
K.4.4.e
schemes # program and recursion
F.3.3.d
schemes (including trellis codes) # combined modulation
94B12
schemes (quotients) # group actions on varieties or
14L30
schemes and morphisms
14A15
schemes) # parametrization (Chow and Hilbert
14C05
schemes, etc.) # coding and information theory (compaction, compression, models of communication, encoding
68P30
schemes, higher Jacobians # Picard
14K30
schemes, precategories # graphs, diagram
18A10
schemes, strongly regular graphs # association
05E30
schemes; Arakelov theory; heights # arithmetic varieties and
14G40
Schnirelman (Lyusternik - Shnirel'man) category of a space # Ljusternik -
55M30
Schnirelman (Lyusternik - Shnirel'man) theory, etc.) # abstract critical point theory (Morse theory, Ljusternik -
58E05
Schoenflies problem # $S^{n-1}\subset E^n$,
57N50
school education. adult and further education # out-of-
97B60
schools of mathematics
01A72
Schottky problem # theta functions;
14H42
Schr\"odinger and Feynman - Kac semigroups
47D08
Schr\"odinger operator
35J10
Schr\"odinger operators, etc.) # disordered systems (random Ising models, random
82B44
Schr\"odinger) equations # NLS-like (nonlinear
35Q55
Schr\"odinger, Dirac, Klein - Gordon and other quantum-mechanical equations # closed and approximate solutions to the
81Q05