06-XX
|
Order, lattices, ordered algebraic structures
[See also
18B35]
|
06-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
06-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
06-02
|
Research exposition (monographs, survey articles)
|
06-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
06-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
06-06
|
Proceedings, conferences, collections, etc.
|
06Axx
|
Ordered sets
|
06A05
|
Total order
|
06A06
|
Partial order, general
|
06A07
|
Combinatorics of partially ordered sets
|
06A11
|
Algebraic aspects of posets
[See also
05E25]
|
06A12
|
Semilattices
[See also
20M10]
{For topological semilattices, see
22A26}
|
06A15
|
Galois correspondences, closure operators
|
06A99
|
None of the above, but in this section
|
06Bxx
|
Lattices
[See also
03G10]
|
06B05
|
Structure theory
|
06B10
|
Ideals, congruence relations
|
06B15
|
Representation theory
|
06B20
|
Varieties of lattices
|
06B23
|
Complete lattices, completions
|
06B25
|
Free lattices, projective lattices, word problems
[See also
03D40,
08A50,
20F10]
|
06B30
|
Topological lattices, order topologies
[See also
06F30,
22A26,
54F05,
54H12]
|
06B35
|
Continuous lattices and posets, applications
[See also
06B30,
06D10,
06F30,
18B35,
22A26,
68Q10]
|
06B99
|
None of the above, but in this section
|
06Cxx
|
Modular lattices, complemented lattices
|
06C05
|
Modular lattices, Desarguesian lattices
|
06C10
|
Semimodular lattices, geometric lattices
|
06C15
|
Complemented lattices, orthocomplemented lattices and posets
[See also
03G12,
81P10]
|
06C20
|
Complemented modular lattices, continuous geometries
|
06C99
|
None of the above, but in this section
|
06Dxx
|
Distributive lattices
|
06D05
|
Structure and representation theory
|
06D10
|
Complete distributivity
|
06D15
|
Pseudocomplemented lattices
|
06D20
|
Heyting algebras
[See also
03G25]
|
06D22
|
Frames, locales
{For topological questions, see
54-XX}
|
06D25
|
Post algebras
[See also
03G20]
|
06D30
|
De_Morgan algebras, Lukasiewicz algebras
[See also
03G20]
|
06D35
|
MV-algebras
|
06D50
|
Lattices and duality
|
06D72
|
Fuzzy lattices (soft algebras) and related topics
|
06D99
|
None of the above, but in this section
|
06Exx
|
Boolean algebras (Boolean rings)
[See also
03G05]
|
06E05
|
Structure theory
|
06E10
|
Chain conditions, complete algebras
|
06E15
|
Stone space and related constructions
|
06E20
|
Ring-theoretic properties
[See also
16E50,
16G30]
|
06E25
|
Boolean algebras with additional operations (diagonalizable algebras, etc.)
[See also
03G25,
03F45]
|
06E30
|
Boolean functions
[See also
94C10]
|
06E99
|
None of the above, but in this section
|
06Fxx
|
Ordered structures
|
06F05
|
Ordered semigroups and monoids
[See also
20Mxx]
|
06F07
|
Quantales
|
06F10
|
Noether lattices
|
06F15
|
Ordered groups
[See also
20F60]
|
06F20
|
Ordered Abelian groups, Riesz groups, ordered linear spaces
[See also
46A40]
|
06F25
|
Ordered rings, algebras, modules
{For ordered fields, see
12J15}
[See also
13J25,
16W80]
|
06F30
|
Topological lattices, order topologies
[See also
06B30,
22A26,
54F05,
54H12]
|
06F35
|
BCK-algebras, BCI-algebras
[See also
03G25]
|
06F99
|
None of the above, but in this section
|