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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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