Classification Search Result

Mathematics Subject Classification – MSC2020

06-XX

Order, lattices, ordered algebraic structures [See also 18B35]

42097

06Bxx

Lattices [See also 03G10]

9312

06B05

Structure theory of lattices

2023

06B10

Lattice ideals, congruence relations

1684

06B15

Representation theory of lattices

1011

06B20

Varieties of lattices

729

06B23

Complete lattices, completions

1614

06B25

Free lattices, projective lattices, word problems [See also 03D40, 08A50, 20F10]

331

06B30

Topological lattices [See also 06F30, 22A26, 54F05, 54H12]

805

06B35

Continuous lattices and posets, applications [See also 06B30, 06D10, 06F30, 18B35, 22A26, 68Q55]

1310

06B75

Generalizations of lattices

238

06B99

None of the above, but in this section

830

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview