Classification Search Result

Mathematics Subject Classification – MSC2020

06-XX

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

42107

06-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to ordered structures

06-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordered structures

220

06-02

Research exposition (monographs, survey articles) pertaining to ordered structures

278

06-03

History of ordered structures [Consider also classification numbers from Section 01-XX]

06-04

Software, source code, etc. for problems pertaining to ordered structures

06-06

Proceedings, conferences, collections, etc. pertaining to ordered structures

165

06-08

Computational methods for problems pertaining to ordered structures

06-11

Research data for problems pertaining to ordered structures

06Axx

Ordered sets

12007

06A05

Total orders

1023

06A06

Partial orders, general

4604

06A07

Combinatorics of partially ordered sets

3397

06A11

Algebraic aspects of posets

928

06A12

Semilattices [See also 20M10] {For topological semilattices, see 22A26}

1398

06A15

Galois correspondences, closure operators (in relation to ordered sets)

1278

06A75

Generalizations of ordered sets

166

06A99

None of the above, but in this section

356

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

06Cxx

Modular lattices, complemented lattices

3444

06C05

Modular lattices, Desarguesian lattices

1173

06C10

Semimodular lattices, geometric lattices

533

06C15

Complemented lattices, orthocomplemented lattices and posets [See also 03G12, 81P10]

1738

06C20

Complemented modular lattices, continuous geometries

185

06C99

None of the above, but in this section

06Dxx

Distributive lattices

8107

06D05

Structure and representation theory of distributive lattices

1755

06D10

Complete distributivity

451

06D15

Pseudocomplemented lattices

651

06D20

Heyting algebras (lattice-theoretic aspects) [See also 03G25]

868

06D22

Frames, locales {For topological questions, see 54-XX}

1022

06D25

Post algebras (lattice-theoretic aspects) [See also 03G20]

153

06D30

De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects) [See also 03G20]

806

06D35

MV-algebras

1653

06D50

Lattices and duality

380

06D72

Fuzzy lattices (soft algebras) and related topics

553

06D75

Other generalizations of distributive lattices

308

06D99

None of the above, but in this section

493

06Exx

Boolean algebras (Boolean rings) [See also 03G05]

5520

06E05

Structure theory of Boolean algebras

1365

06E10

Chain conditions, complete algebras

264

06E15

Stone spaces (Boolean spaces) and related structures

571

06E20

Ring-theoretic properties of Boolean algebras [See also 16E50, 16G30]

303

06E25

Boolean algebras with additional operations (diagonalizable algebras, etc.) [See also 03G25, 03F45]

371

06E30

Boolean functions [See also 94D10]

2293

06E75

Generalizations of Boolean algebras

119

06E99

None of the above, but in this section

469

06Fxx

Ordered structures

11419

06F05

Ordered semigroups and monoids [See also 20Mxx]

2816

06F07

Quantales

490

06F10

Noether lattices

137

06F15

Ordered groups [See also 20F60]

1947

06F20

Ordered abelian groups, Riesz groups, ordered linear spaces [See also 46A40]

1655

06F25

Ordered rings, algebras, modules {For ordered fields, see 12J15} [See also 13J25, 16W80]

1533

06F30

Ordered topological structures [See also 06B30, 22A26, 54F05, 54H12]

715

06F35

BCK-algebras, BCI-algebras [See also 03G25]

2392

06F99

None of the above, but in this section

620

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