zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2020

08-XX

General algebraic systems 14317

08-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to general algebraic systems 35

08-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general algebraic systems 116

08-02

Research exposition (monographs, survey articles) pertaining to general algebraic systems 212

08-03

History of general algebraic systems [Consider also classification numbers pertaining to Section 01-XX] 39

08-04

Software, source code, etc. for problems pertaining to general algebraic systems 24

08-06

Proceedings, conferences, collections, etc. pertaining to general algebraic systems 103

08-08

Computational methods for problems pertaining to general algebraic systems 0

08-11

Research data for problems pertaining to general algebraic systems 0

08Axx

Algebraic structures [See also 03C05] 9395

08A02

Relational systems, laws of composition 765

08A05

Structure theory of algebraic structures 1261

08A30

Subalgebras, congruence relations 2573

08A35

Automorphisms and endomorphisms of algebraic structures 639

08A40

Operations and polynomials in algebraic structures, primal algebras 1700

08A45

Equational compactness 62

08A50

Word problems (aspects of algebraic structures) [See also 03D40, 06B25, 20F10, 68R15] 250

08A55

Partial algebras 561

08A60

Unary algebras 498

08A62

Finitary algebras 258

08A65

Infinitary algebras 78

08A68

Heterogeneous algebras 46

08A70

Applications of universal algebra in computer science 625

08A72

Fuzzy algebraic structures 698

08A99

None of the above, but in this section 456

08Bxx

Varieties [See also 03C05] 5477

08B05

Equational logic, Mal’tsev conditions 1291

08B10

Congruence modularity, congruence distributivity 628

08B15

Lattices of varieties 1540

08B20

Free algebras 929

08B25

Products, amalgamated products, and other kinds of limits and colimits [See also 18A30] 401

08B26

Subdirect products and subdirect irreducibility 255

08B30

Injectives, projectives 168

08B99

None of the above, but in this section 1054

08Cxx

Other classes of algebras 1831

08C05

Categories of algebras [See also 18C05] 607

08C10

Axiomatic model classes [See also 03Cxx, in particular 03C60] 324

08C15

Quasivarieties 831

08C20

Natural dualities for classes of algebras [See also 06E15, 18A40, 22A30] 60

08C99

None of the above, but in this section 101

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

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

zbMATH — the first resource for mathematics

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Mathematics Subject Classification – MSC2020

Overview