Jump to content

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

Add links
From Wikipedia, the free encyclopedia

This page provides a list of all articles available at PlanetMath in the following topic:

06-XX Order, lattices, ordered algebraic structures.

This list will be periodically updated. Each entry in the list has three fields:

  1. PM : The first field is the link to the PlanetMath article, along with the article's object ID.
  2. WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
  3. Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status means PM article
N not needed
A adequately covered
C copied
M merged
NC needs copying
NM needs merging
  • Please update the WP and Status fields as appropriate.
  • if the WP field is correct please remove the qualifier "guess".
  • If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
  • If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
  • If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.

Don't forget to include the relevant template if you copy over text or feel like an external link is warranted

  • {{planetmath|id=|title=}} for copied over text
  • {{planetmath reference|id=|title=}} for an external link

See the main page for examples and usage criteria.

One can use the web-based program Pmform to convert PlanetMath articles to the Wikipedia format. As a side benefit, this tool will place the PlanetMath template for you.

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]
[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]
Retrieved from "https://en.wikipedia.org/w/index.php?title=Wikipedia:WikiProject_Mathematics/PlanetMath_Exchange/06-XX_Order,_lattices,_ordered_algebraic_structures&oldid=1136065038"