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06-XX Order, lattices, ordered algebraic structures.

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06-00 General reference works (handbooks, dictionaries, bibliographies, etc.)

AdamSmithee 14:17, 3 January 2006 (UTC) reply

06A05 Total order

Paul August 22:52, September 2, 2005 (UTC)
Paul August 03:50, 9 May 2006 (UTC) reply

06A06 Partial order, general

AdamSmithee 09:39, 9 January 2006 (UTC) reply
AdamSmithee 14:26, 3 January 2006 (UTC) reply
AdamSmithee 14:26, 3 January 2006 (UTC) reply
AdamSmithee 14:26, 3 January 2006 (UTC) reply
AdamSmithee 14:26, 3 January 2006 (UTC) reply
  • PM: atom, id=7153 -- WP guess: atom -- Status:
  • PM: fence, id=9439new! -- WP guess: fence -- Status:

06A07 Combinatorics of partially ordered sets

06A11 Algebraic aspects of posets

06A12 Semilattices

AdamSmithee 10:03, 9 January 2006 (UTC) reply
i.e. spell out in the intro (obvious) remarks that a join semilattice is dual to a meet sl + semilattice that is both join and meet = lattice AdamSmithee 10:03, 9 January 2006 (UTC) reply
Paul August 03:54, 9 May 2006 (UTC) reply
Paul August 03:54, 9 May 2006 (UTC) reply

06A15 Galois correspondences, closure operators

06A99 Miscellaneous

AdamSmithee 09:49, 6 January 2006 (UTC) reply
AdamSmithee 09:49, 6 January 2006 (UTC) reply
Can also be merged into Zorn's lemma and redirect to that AdamSmithee 09:49, 6 January 2006 (UTC) reply
WP article needs to make clear that the two partial orders need not be the same AdamSmithee 09:49, 6 January 2006 (UTC) reply
WP article needs an easy explanaition using less than or equal notation AdamSmithee 09:49, 6 January 2006 (UTC) reply
Example of elements that are not comparable. Also WP article would be more clear for non-maths if it would first give a short explanation using less than or equal notation, only then get into binary relations AdamSmithee 09:49, 6 January 2006 (UTC) reply
AdamSmithee 09:49, 6 January 2006 (UTC) reply

06Axx Ordered sets

06B05 Structure theory

Should be copied to bounded lattice, which is now a redirect to lattice (order), but should be its own article. Paul August 04:26, 9 May 2006 (UTC) reply
Paul August 04:21, 9 May 2006 (UTC) reply

06B10 Ideals, congruence relations

06B20 Varieties of lattices

06B23 Complete lattices, completions

06B25 Free lattices, projective lattices, word problems

06B30 Topological lattices, order topologies

06B35 Continuous lattices and posets, applications

PM article seems to be broken, can't even get TeX output for it. linas ( talk) 15:32, 8 April 2008 (UTC) reply
linas ( talk) 15:36, 8 April 2008 (UTC) reply

06B99 Miscellaneous

Paul August 05:12, 16 February 2007 (UTC) reply

06Bxx Lattices

06C05 Modular lattices, Desarguesian lattices

It might also be a good idea to create a separate article and link from Lattice (order) - AdamSmithee 15:57, 3 January 2006 (UTC) reply

06C10 Semimodular lattices, geometric lattices

06C15 Complemented lattices, orthocomplemented lattices and posets

06C20 Complemented modular lattices, continuous geometries

06Cxx Modular lattices, complemented lattices

06D05 Structure and representation theory

06D10 Complete distributivity

06D15 Pseudocomplemented lattices

06D20 Heyting algebras

06D22 Frames, locales

06D30 De Morgan algebras, Lukasiewicz algebras

06D99 Miscellaneous

AdamSmithee 09:54, 6 January 2006 (UTC) reply
AdamSmithee 09:54, 6 January 2006 (UTC) reply

06Dxx Distributive lattices

06E15 Stone space and related constructions

06E20 Ring-theoretic properties

06E99 Miscellaneous

Needs to be copied to regular open set which is now a redirect to Topology glossary. Paul August 04:11, 9 May 2006 (UTC) reply

06Exx Boolean algebras (Boolean rings)

06F05 Ordered semigroups and monoids

06F07 Quantales

06F15 Ordered groups

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces

linas ( talk) 03:59, 29 November 2010 (UTC) reply

06F25 Ordered rings, algebras, modules

Paul August 04:04, 9 May 2006 (UTC) reply
Paul August 04:07, 9 May 2006 (UTC) reply
Paul August 04:16, 9 May 2006 (UTC) reply

06F30 Topological lattices, order topologies

06F99 Miscellaneous

06Fxx Ordered structures