Wikipedia:WikiProject Mathematics/PlanetMath Exchange/06-XX Order, lattices, ordered algebraic structures

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06-XX Order, lattices, ordered algebraic structures.

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

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

06A05 Total order[edit]

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

06A06 Partial order, general[edit]

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[edit]

06A11 Algebraic aspects of posets[edit]

06A12 Semilattices[edit]

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[edit]

06A99 Miscellaneous[edit]

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[edit]

06B05 Structure theory[edit]

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[edit]

06B20 Varieties of lattices[edit]

06B23 Complete lattices, completions[edit]

06B25 Free lattices, projective lattices, word problems[edit]

06B30 Topological lattices, order topologies[edit]

06B35 Continuous lattices and posets, applications[edit]

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[edit]

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

06Bxx Lattices[edit]

06C05 Modular lattices, Desarguesian lattices[edit]

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[edit]

06C15 Complemented lattices, orthocomplemented lattices and posets[edit]

06C20 Complemented modular lattices, continuous geometries[edit]

06Cxx Modular lattices, complemented lattices[edit]

06D05 Structure and representation theory[edit]

06D10 Complete distributivity[edit]

06D15 Pseudocomplemented lattices[edit]

06D20 Heyting algebras[edit]

06D22 Frames, locales[edit]

06D30 De Morgan algebras, Lukasiewicz algebras[edit]

06D99 Miscellaneous[edit]

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

06Dxx Distributive lattices[edit]

06E15 Stone space and related constructions[edit]

06E20 Ring-theoretic properties[edit]

06E99 Miscellaneous[edit]

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)[edit]

06F05 Ordered semigroups and monoids[edit]

06F07 Quantales[edit]

06F15 Ordered groups[edit]

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces[edit]

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

06F25 Ordered rings, algebras, modules[edit]

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[edit]

06F99 Miscellaneous[edit]

06Fxx Ordered structures[edit]

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