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Order, lattices, ordered algebraic structures   [xref: 18B35]
[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 Partial order
06A11 Algebraic aspects of posets [See also 05E25]   [xref: 05E25, 52B20]
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]   [xref: 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]   [xref: 03D40, 08A50, 20F10]
06B30 Topological lattices, order topologies [See also 06F30, 22A26, 54F05, 54H12]   [xref: 06B35, 06F30, 22A26, 54F05, 54H12]
06B35 Continuous lattices and posets, applications [See also 06B30, 06D10, 06F30, 18B35, 22A26, 68Q55]   [xref: 22A26, 68Q55]
06B99 None of the above, but in this section

06Cxx Modular lattices, complemented lattices   [xref: 51D30]
06C05 Modular lattices, Desarguesian lattices
06C10 Semimodular lattices, geometric lattices
06C15 Complemented lattices, orthocomplemented lattices and posets [See also 03G12, 81P10]   [xref: 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   [xref: 06B35]
06D15 Pseudocomplemented lattices
06D20 Heyting algebras [See also 03G25]   [xref: 03G25]
06D22 Frames, locales {For topological questions see 54-XX}
06D25 Post algebras [See also 03G20]   [xref: 03G20]
06D30 De Morgan algebras, Lukasiewicz algebras [See also 03G20]   [xref: 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]   [xref: 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]   [xref: 03F45, 03G25]
06E30 Boolean functions [See also 94C10]   [xref: 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]   [xref: 20F60]
06F20 Ordered abelian groups, Riesz groups, ordered linear spaces [See also 46A40]   [xref: 46A40]
06F25 Ordered rings, algebras, modules {For ordered fields, see 12J15; see also 13J25, 16W80}   [xref: 13J25, 16W80]
06F30 Topological lattices, order topologies [See also 06B30, 22A26, 54F05, 54H12]   [xref: 06B30, 06B35, 22A26, 54F05, 54H12]
06F35 BCK-algebras, BCI-algebras [See also 03G25]   [xref: 03G25]
06F99 None of the above, but in this section

Version 2000