algebraic numbers # PV-numbers and generalizations; other special    11R06  
algebraic numbers; Galois module structure of rings of integers # integral representations related to    11R33  
algebraic numbers; rings of algebraic integers   11R04  
algebraic operations   512.92  
algebraic or transcendental equations # nonlinear    65Hxx  
algebraic properties of function spaces   54C40  
algebraic sets # real    14P05  
algebraic spaces, stacks) # generalizations (   14A20  
algebraic specification # abstract data types;    68Q65  
algebraic structures   08Axx  
algebraic structures # fuzzy    08A72  
algebraic structures # relations with infinite-dimensional Lie algebras and other    37K30  
algebraic systems # general    08-XX  
algebraic systems # individual linear operators as elements of    47Cxx  
algebraic systems # representations of groups as automorphism groups of    20F29  
algebraic systems # topological and differentiable    22Axx  
algebraic systems # topological representations of    54H10  
algebraic systems and their representations # other topological    22A30  
algebraic systems of matrices   15A30  
algebraic theorems) # polynomials: location of zeros (   12D10  
algebraic theories), structure, and semantics # theories (e.g.    18C10  
algebraic theory   14K05  
algebraic theory of languages and automata   68Q70  
algebraic theory of quadratic forms; Witt groups and rings   11E81  
algebraic topology   514.2  
algebraic topology   55-XX  
algebraic topology (cohomology, sheaf and bundle theory, etc.) # methods of    46M20  
algebraic topology and algebraic geometry # Feynman integrals and graphs; applications of    81Q30  
algebraic topology of manifolds   57N65  
algebraic topology of manifolds # equivariant    57R91  
algebraic topology on manifolds   57R19  
algebraic varieties # topology of real    14P25  
algebraic varieties of higher dimensions   516.353  
algebraic) # families, moduli (   14H10  
algebraic, geometric, or combinatorial structures # finite automorphism groups of    20B25  
algebraically special solutions, metrics with symmetries # classes of solutions;    83C20  
algebraization   51A25  
algebras # associative rings and    16-XX  
algebras # axiomatic quantum field theory; operator    81T05  
algebras # Boolean    03G05  
algebras # categories of    08C05  
algebras # cohomology of Lie (super)   17B56  
algebras # color Lie (super)   17B75  
algebras # commutative Banach algebras and commutative topological    46Jxx  
algebras # commutative rings and    13-XX  
algebras # composition    17A75  
algebras # cylindric and polyadic algebras; relation    03G15  
algebras # decomposition theory for $C^*$-   46L45  
algebras # differential and difference    512.56  
algebras # division    17A35  
algebras # division    17C60  
algebras # dual algebras; weakly closed singly generated operator    47L45  
algebras # dual spaces of operator    47L50  
algebras # exceptional (super)   17B25  
algebras # factor    512.57  
algebras # finitary    08A62  
algebras # finite rings and finite-dimensional    16P10  
algebras # flexible    17A20  
algebras # free    08B20  
algebras # free    17A50  
algebras # free probability and free operator    46L54  
algebras # functional calculus in topological    46H30  
algebras # general theory of $C^*$-   46L05  
algebras # general theory of commutative topological    46J05  
algebras # general theory of topological    46H05  
algebras # general theory of von_Neumann    46L10  
algebras # genetic    17D92  
algebras # graded Lie (super)   17B70  
algebras # heterogeneous    08A68  
algebras # Heyting    06D20  
algebras # Hilbert    46K15  
algebras # homological methods in Lie (super)   17B55  
algebras # Hopf    57T05  
algebras # identities, free Lie (super)   17B01  
algebras # infinitary    08A65  
algebras # infinite-dimensional Lie (super)   17B65  
algebras # infinite-dimensional Lie groups and their Lie    22E65  
algebras # Jordan structures on Banach spaces and    17C65  
algebras # K$-theory and operator    19Kxx  
algebras # Krasner - Tate    12J27  
algebras # Leibniz    17A32  
algebras # Lie algebras of vector fields and related    17B66  
algebras # Lie-admissible    17D25  
algebras # locally compact groups and their    22Dxx  
algebras # Lukasiewicz and Post    03G20  
algebras # Malcev (Maltsev) rings and    17D10  
algebras # modular Lie (super)   17B50  
algebras # nonassociative nonselfadjoint operator    47L70  
algebras # nonassociative rings and    17-XX  
algebras # nonassociative selfadjoint operator    46L70  
algebras # nonassociative topological    46H70  
algebras # noncommutative Jordan    17A15  
algebras # operators in    47C05  
algebras # operators in $C^*$- or von_Neumann    47C15  
algebras # operators in *-   47C10  
algebras # operators on Banach    47B48  
algebras # other classes of    08Cxx  
algebras # other nonassociative rings and    17Dxx  
algebras # other nonselfadjoint operator    47L75  
algebras # partial    08A55  
algebras # Poisson    17B63  
algebras # Post    06D25  
algebras # quadratic and Koszul    16S37  
algebras # quadratic spaces; Clifford    11E88  
algebras # radical Banach    46J45  
algebras # relations with the theory of $C^*$-   37A55  
algebras # representation theory of rings and    16Gxx  
algebras # representations of (nonselfadjoint) operator    47L55  
algebras # representations of commutative topological    46J25  
algebras # representations of group    22D20  
algebras # representations of topological    46H15  
algebras # solvable, nilpotent (super)   17B30  
algebras # tensor products of $C^*$-algebras; free products of $C^*$-   46L06  
algebras # unary    08A60  
algebras # universal enveloping    17B35  
algebras # universal enveloping algebras of Lie    16S30  
algebras # valued    17A80  
algebras # Virasoro and related    17B68  
algebras ($C^*$-algebras, von_Neumann ($W^*$-) algebras, etc.) # selfadjoint operator    46Lxx  
algebras (algebras, triples and pairs) # Jordan    17Cxx  
algebras (analytic crossed products) # crossed product    47L65  
algebras (Boolean rings) # Boolean    06Exx  
algebras (but not quadratic Jordan algebras) # quadratic    17A45  
algebras (e.g. Hochschild, cyclic, dihedral, etc.) # (Co)homology of rings and    16E40  
algebras (e.g., diagonalizable algebras) # provability logics and related    03F45  
algebras (e.g., Hochschild, Andr\'e - Quillen, cyclic, dihedral, etc.) # (co)homology of commutative rings and    13D03  
algebras (including cyclic theory) # K$-theory and operator    46L80  
algebras (roots) # simple, semisimple, reductive (super)   17B20  
algebras (structure and representation theory) # Kac - Moody    17B67  
algebras and $W^*$-algebras in relation to group representations # C^*$-   22D25  
algebras and applications # differential graded    16E45  
algebras and commutative topological algebras # commutative Banach    46Jxx  
algebras and finite simple groups # relationship to Lie    11F22  
algebras and generalizations, preparation theorems # analytic    32B05  
algebras and groups # topological and related    512.55  
algebras and Kleisli categories associated with monads   18C20  
algebras and Lie superalgebras # Lie    17Bxx  
algebras and orders, and their zeta and $L$-functions # other    11R54  
algebras and orders, and their zeta functions   11S45  
algebras and other algebraic structures # relations with infinite-dimensional Lie    37K30  
algebras and rings # analytical    13J07  
algebras and their representations # Hecke    20C08  
algebras arising under various constructions # rings and    16Sxx  
algebras associated with other structures (associative, Jordan, etc.) # Lie (super)   17B60  
algebras based on group properties   512.24  
algebras built from modules # other    15A78  
algebras in algebras with involution # nonselfadjoint (sub)   46K50  
algebras in quantum theory # groups and    81Rxx  
algebras in relation to group representations # C^*$-algebras and $W^*$-   22D25  
algebras motivated by physics and their representations # finite-dimensional groups and    81R05  
algebras motivated by physics, including Virasoro, Kac - Moody, $W$-algebras and other current algebras and their representations # infinite-dimensional groups and    81R10  
algebras of analytic functions # spaces and    30H05  
algebras of continuous functions, function algebras # Banach    46J10  
algebras of continuous, differentiable or analytic functions # rings and    46E25  
algebras of differentiable or analytic functions, $H^p$-spaces # Banach    46J15  
algebras of holomorphic functions   32A38  
algebras of LCA groups # structure of group    22B10  
algebras of Lie algebras # universal enveloping    16S30  
algebras of Lie groups # Lie    22E60  
algebras of linear algebraic groups # Lie    17B45  
algebras of locally compact groups # group    22D15  
algebras of operators # algebras of unbounded operators; partial    47L60  
algebras of operators # linear spaces and    47Lxx  
algebras of operators # topological    46H35  
algebras of operators on Banach spaces and other topological linear spaces   47L10  
algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.)   47L80  
algebras of unbounded operators; partial algebras of operators   47L60  
algebras of vector fields and related algebras # Lie    17B66  
algebras on groups, semigroups, etc. # measure    43A10  
algebras on Hilbert spaces # abstract operator    47L30  
algebras related to logic # other    03G25  
algebras satisfying other identities   17A30  
algebras to physics # applications of operator    47L90  
algebras to physics # applications of selfadjoint operator    46L60  
algebras with additional operations (diagonalizable algebras, etc.) # Boolean    06E25  
algebras with additional structure # rings and    16Wxx  
algebras with an involution # nonassociative topological    46K70  
algebras with an involution # topological (rings and)    46Kxx  
algebras with involution # general theory of topological    46K05  
algebras with involution # nonselfadjoint (sub)algebras in    46K50  
algebras with involution # representations of topological    46K10  
algebras with symbol structure # operator    47L15  
algebras) # quadratic algebras (but not quadratic Jordan    17A45  
algebras) and related deformations # quantum groups (quantized enveloping    17B37  
algebras) and related topics # fuzzy lattices (soft    06D72  
algebras) and their representations # quantum groups (quantized function    20G42  
algebras, bisimulation, transition nets, etc.) # models and methods for concurrent and distributed computing (process    68Q85  
algebras, coproducts, adjunction of inverses, etc.) # rings determined by universal properties (free    16S10  
algebras, CSL algebras # nest    47L35  
algebras, etc.) # Boolean algebras with additional operations (diagonalizable    06E25  
algebras, etc.) # selfadjoint operator algebras ($C^*$-algebras, von_Neumann ($W^*$-)    46Lxx  
algebras, factors # classifications of $C^*$-   46L35  
algebras, groups, rings # geometries over    516.186  
algebras, Lukasiewicz algebras # De_Morgan    06D30  
algebras, normed rings and algebras, Banach algebras # topological    46Hxx  
algebras, spinors # Clifford    15A66  
algebras, subalgebras of $C^*$-algebras # limit    47L40  
algebras, triples and pairs) # Jordan algebras (   17Cxx  
algebras, von_Neumann ($W^*$-) algebras, etc.) # selfadjoint operator algebras ($C^*$-   46Lxx  
algebras: arithmetic, zeta functions # quaternion and other division    11R52  
algebras; free products of $C^*$-algebras # tensor products of $C^*$-   46L06  
algebras; relation algebras # cylindric and polyadic    03G15  
algebras; weakly closed singly generated operator algebras # dual    47L45  
algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) # other    14F43  
algebro-geometric) # geometric methods (including    93B27  
algorithm with automatic result verification   65G20  
algorithm; greatest common divisors # multiplicative structure; Euclidean    11A05  
algorithmic information theory (Kolmogorov complexity, etc.)   68Q30  
algorithms   68Wxx  
algorithms # analysis of    68W40  
algorithms # approximation    68W25  
algorithms # complexity and performance of numerical    65Y20  
algorithms # computer aspects of numerical    65Yxx  
algorithms # distributed    68W15  
algorithms # graph    05C85  
algorithms # nonnumerical    68W05  
algorithms # other matrix    65F30  
algorithms # parallel    68W10  
algorithms # randomized    68W20  
algorithms # visualization    76M27  
algorithms # VLSI    68W35  
algorithms and expansions; measure and Hausdorff dimension # metric theory of other    11K55  
algorithms and problem complexity # analysis of    68Q25  
algorithms for functional approximation   65D15  
algorithms for specific classes of architectures   65Y10  
algorithms) # mathematical programming (   65K05  
algorithms) # numerical approximation and computational geometry (primarily    65Dxx  
algorithms, etc.) # symbolic computation (Gosper and Zeilberger    33F10  
algorithms; complexity   11Y16  
allied phenomena # geomagnetism and    538.7  
allied sciences # astronomy and    520  
allied sciences # chemistry &    540  
allocation # resource    91B80  
almost complex manifolds   32Q60  
almost complex, almost product structures, etc.) # general geometric structures on manifolds (   53C15  
almost contact and almost symplectic manifolds   53D15  
almost homogeneous manifolds and spaces   32M12  
almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions   43A60  
almost periodic functions, mean periodic functions # classical    42A75  
almost periodic solutions   34C27  
almost periodic solutions   35B15  
almost periodic solutions # periodic and    70H12  
almost periodicity # harmonic analysis and    11K70  
almost split sequences) and Auslander - Reiten quivers # Auslander - Reiten sequences (   16G70  
almost symplectic manifolds # almost contact and    53D15  
almost-periodic solutions   34K14  
alpha decay   539.7522  
alphabets # shift register sequences and sequences over finite    94A55  
alternating groups and groups of Lie type # simple groups:    20D06  
alternative rings   17D05  
alternative rings # right    17D15  
Americas # indigenous cultures of the    01A12  
Amp\`ere operators # complex Monge -    32W20  
analitic geometry # plane    516.32  
analitic geometry # solid    516.33  
analitic trigonometry   516.34  
analog computer peripherals # hybrid and    004.719  
analog computers # for hybrid and    005.39  
analog computers # hybrid and    004.19  
analog computers # hybrid and    004.619  
analogous concepts # structural stability and    34D30  
analogues in lower dimensions   83C80  
analogues of beta and gamma functions, $p$-adic integration, etc.) # other analytic theory (   11S80  
analogues of methods in Nevanlinna theory (work of Vojta et al.)   11J97  
analysis   515  
analysis # abstract harmonic    515.785  
analysis # abstract harmonic    43-XX  
analysis # applications in numerical    46N40  
analysis # applications in numerical    47N40  
analysis # applied numerical    519.4  
analysis # asymptotic    78M35  
analysis # asymptotic    80M35  
analysis # classification and discrimination; cluster    62H30  
analysis # combinatorial    511.6  
analysis # constructive and recursive    03F60  
analysis # constructive functional    46S30  
analysis # constructive real    26E40  
analysis # correlation (association)    519.537  
analysis # data    62-07  
analysis # decision    658.40354  
analysis # dimensional    00A73  
analysis # discrete version of topics in    39A12  
analysis # dynamical systems in numerical    37N30  
analysis # economic time series    91B20  
analysis # error    511.43  
analysis # error analysis and interval    65Gxx  
analysis # factor    519.5354  
analysis # factor analysis and principal components; correspondence    62H25  
analysis # Fourier    42-XX  
analysis # Fourier and harmonic    515.2433  
analysis # Fourier and harmonic    515.82433  
analysis # Fourier and harmonic    515.92433  
analysis # function spaces arising in harmonic    42B35  
analysis # functional    515.7  
analysis # functional    46-XX  
analysis # functional analysis over fields other than R or C or the quaternions; non-Archimedean functional    46S10  
analysis # fuzzy functional    46S40  
analysis # fuzzy real    26E50  
analysis # general methods in interval    65G40  
analysis # global    514.74