La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Query : CC = Lattices
03-XX Mathematical logic and foundations

• 03G10 Lattices and related structures [See also 06Bxx]

05-XX Combinatorics [For finite fields, see 11Txx]

• 05B35 Matroids, geometric lattices [See also 52B40, 90C27]

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

• 06-99 Order, lattices, ordered algebraic structures (not classified at a more specific level)
• 06A12 Semilattices [See also 20M10; for topological semilattices see 22A26]
• 06Bxx Lattices [See also 03G10]
• 06B20 Varieties of lattices
• 06B23 Complete lattices, completions [New MSC 2000 code]
  • MSC 1991 code in relation : 06A23
• 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, 54F05, 68Q55]
• 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
• 06Dxx Distributive lattices
• 06D15 Pseudocomplemented lattices
• 06D50 Lattices and duality [New MSC 2000 code]
  • MSC 1991 code in relation : 06D05
• 06D72 Fuzzy lattices (soft algebras) and related topics [New MSC 2000 code]
  • MSC 1991 code in relation : 06D30
• 06F10 Noether lattices
• 06F30 Topological lattices, order topologies [See also 06B30, 22A26, 54F05, 54H12]

08-XX General algebraic systems

• 08B15 Lattices of varieties

11-XX Number theory

• 11H06 Lattices and convex bodies [See also 11P21, 52C05, 52C07]
• 11H56 Automorphism groups of lattices

16-XX Associative rings and algebras [For the commutative case, see 13-XX]

• 16G30 Representations of orders, lattices, algebras over commutative rings [See also 16H05]

18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]

• 18B35 Preorders, orders and lattices (viewed as categories) [See also 06-XX]

20-XX Group theory and generalizations

• 20D30 Series and lattices of subgroups
• 20E15 Chains and lattices of subgroups, subnormal subgroups [See also 20F22]

22-XX Topological groups, Lie groups [For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX]

• 22A26 Topological semilattices, lattices and applications [See also 06B30, 06B35, 06F30]

46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46A40 Ordered topological linear spaces, vector lattices [See also 06F20, 46B40, 46B42]
• 46Bxx Normed linear spaces and Banach spaces; Banach lattices [For function spaces, see 46Exx]
• 46B42 Banach lattices [See also 46A40, 46B40]
• 46E05 Lattices of continuous, differentiable or analytic functions

51-XX Geometry [For algebraic geometry, see 14-XX]

• 51D25 Lattices of subspaces [See also 05B35]

52-XX Convex and discrete geometry

• 52C05 Lattices and convex bodies in 2 dimensions [See also 11H06, 11H31, 11P21]
• 52C07 Lattices and convex bodies in n dimensions [See also 11H06, 11H31, 11P21]

54-XX General topology [For the topology of manifolds of all dimensions, see 57Nxx]

• 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
• 54H12 Topological lattices, etc. [See also 06B30, 06F30]

81-XX Quantum theory

• 81T25 Quantum field theory on lattices

---

Keyword :

---

Back to the Mathematics Subject Classification (version 2000)